Paper Citation Record · LEDGER

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity

As of 13 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2411.14027.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.14027 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:50:50.216071Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

verified exact0
verified fuzzy42
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c5dd0d09-4526-4ef0-adc2-8b71ec06c14f · outbound

This paper cites Anantharaman-Delaroche and J.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Anantharaman-Delaroche and J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:51.158242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f471714c-793d-4d12-8aef-e50dc996f0b1 · outbound

This paper cites B´ edos, S.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity B´ edos, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:51.137106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation db46dece-eb85-4313-b879-fc4a091a8f44 · outbound

This paper cites B´ edos, S.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity B´ edos, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:51.114986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f73eb9b1-d14f-48f8-a312-81aabf29035a · outbound

This paper cites B´ edos, S.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity B´ edos, S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:51.096313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a56d9a58-d25c-48c3-9400-56c9e309cfa4 · outbound

This paper cites Brown, L.O.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Brown, L.O

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:51.079914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 96374a8c-ac9f-4933-9a7d-f13faf4e8e9a · outbound

This paper cites Burris and H.P.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Burris and H.P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:51.063013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 35e63558-0910-44c0-9a05-be5527cc1820 · outbound

This paper cites Clark, R.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Clark, R

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:51.045952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 77975ddd-b22f-4156-9ce3-03607fa1f631 · outbound

This paper cites Donsig and D.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Donsig and D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:51.027610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a95fb025-59ae-4a44-adca-339777e12c9a · outbound

This paper cites an unresolved cited work.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:50:51.005031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 62436496-bf09-492a-bace-62db8514db8d · outbound

This paper cites Exel, Tight and cover-to-join representations of semilattices a nd in- verse semigroups , Operator Theory, Functional Analysis and Applications.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Exel, Tight and cover-to-join representations of semilattices a nd in- verse semigroups , Operator Theory, Functional Analysis and Applications

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.986853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f088f9fc-0f18-4620-b877-f23c9a57e3f2 · outbound

This paper cites Exel and E.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Exel and E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.969163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8d44f3d4-954c-4363-b6da-05a60195b33d · outbound

This paper cites Exel and E.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Exel and E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.947146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ce57a3b5-33f7-4540-b0a5-20922aa861a3 · outbound

This paper cites $C^*$-algebras of self-similar graphs over arbitrary graphs.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity $C^*$-algebras of self-similar graphs over arbitrary graphs

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T15:50:50.042567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 463fc185-567e-4a1c-892d-6a88ec288526 · outbound

This paper cites Farthing, P.S.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Farthing, P.S

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.929725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8389a9ac-209a-491b-821d-490f4d5d63ab · outbound

This paper cites Hazrat, D.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Hazrat, D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.910900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c02a922c-004f-46c4-961c-bd1ff5df5957 · outbound

This paper cites Katsura, A construction of actions on Kirchberg algebras which induc e given actions on their K-groups, J.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Katsura, A construction of actions on Kirchberg algebras which induc e given actions on their K-groups, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.890167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fe694dd9-f3fb-451d-9bf2-a8cf30577a32 · outbound

This paper cites Kumjian and D.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Kumjian and D

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.869966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 08ac50ab-5391-4f26-a307-01b74ae15ff1 · outbound

This paper cites an unresolved cited work.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:50:50.847771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aa0f323b-b566-42ec-8507-b67640770037 · outbound

This paper cites LaLonde and D.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity LaLonde and D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.826909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9600a8f9-1410-4468-9b0f-e459f907face · outbound

This paper cites LaLonde, D.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity LaLonde, D

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.807334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3ed4fa47-1bf0-45ed-83aa-6ea43a48917c · outbound

This paper cites Larki, A dichotomy for simple self-similar graph C ∗ -algebras, J.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Larki, A dichotomy for simple self-similar graph C ∗ -algebras, J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.789064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5515653f-7714-421f-90a4-0217f64b3852 · outbound

This paper cites Larki, Exel-Pardo algebras of self-similar k-graphs, Bull.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Larki, Exel-Pardo algebras of self-similar k-graphs, Bull

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.770027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3b80eb70-3bea-408c-a142-eb6b905bd899 · outbound

This paper cites Lawson, Inverse semigroups: The theory of partial symetries , World Sci- entiﬁc Publishing Co., Inc., River Edge, NJ, 1998.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Lawson, Inverse semigroups: The theory of partial symetries , World Sci- entiﬁc Publishing Co., Inc., River Edge, NJ, 1998

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.750735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 60388ecf-94bb-4fdc-9048-af3a954759e2 · outbound

This paper cites Li, Left regular representations of Garside categories I.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Li, Left regular representations of Garside categories I

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.722169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8e9a2fd-ed36-48f4-a734-92865d314961 · outbound

This paper cites Li and D.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Li and D

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.703857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b9455ae9-a71b-45c6-9bab-74515df8ad6f · outbound

This paper cites Li and D.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Li and D

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.687266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 34a68ccc-9893-4298-bd19-050a6668e0ab · outbound

This paper cites Li and D.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Li and D

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.671980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8a5f14d9-2f65-4458-bfbb-fcd3fbd42ddf · outbound

This paper cites Li and D.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Li and D

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.654594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7343a01c-7ac9-47e0-bc87-ddb71f7a5180 · outbound

This paper cites Mesyan and J.D.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Mesyan and J.D

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.636024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5dff942c-94ce-4f3b-ab69-d7bcce46de64 · outbound

This paper cites Milan and B.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Milan and B

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.614921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 125e21bf-fc79-4fbb-8126-710c583b5d96 · outbound

This paper cites Nekrashevych, Cuntz-Pimsner algebras of group actions , J.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Nekrashevych, Cuntz-Pimsner algebras of group actions , J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.596904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b78c1e13-cc12-4b11-a120-4af50022e2ba · outbound

This paper cites Nekrashevych, Growth of ´etale groupoids and simple algebras , Int.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Nekrashevych, Growth of ´etale groupoids and simple algebras , Int

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.578151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b55c2047-ea26-408c-8be5-36abfa1a386a · outbound

This paper cites Nekrashevych, Self-Similar Groups , Mathematical Surveys and Mono- graphs, vol.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Nekrashevych, Self-Similar Groups , Mathematical Surveys and Mono- graphs, vol

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.559594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 20d770e1-8303-4bfd-9f30-fb800c6bb0a0 · outbound

This paper cites Ortega and E.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Ortega and E

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.537447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bce762a0-9b1e-4ca5-a713-3a43c8819434 · outbound

This paper cites Ortega and E.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Ortega and E

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.516533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5e760456-0652-425b-88a5-9262c40765c1 · outbound

This paper cites Raeburn, Graph Algebras, CBMS Regional Conference Series in Mathemat- ics, vol.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Raeburn, Graph Algebras, CBMS Regional Conference Series in Mathemat- ics, vol

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.494291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dd57d498-312e-424d-8280-39424c6eb40e · outbound

This paper cites Raeburn, A.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Raeburn, A

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.469352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0fe3a706-8b31-4e6e-adc9-25d917d8757b · outbound

This paper cites Renault, A groupoid approach to C ∗ -algebras, Lecture Notes in Mathematics, vol.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Renault, A groupoid approach to C ∗ -algebras, Lecture Notes in Mathematics, vol

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.450561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 04bfa2ff-0b46-468c-a45d-ebbf94cb0711 · outbound

This paper cites Renault, Cartan subalgebras in C ∗ -algebras, Irish Math.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Renault, Cartan subalgebras in C ∗ -algebras, Irish Math

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.430831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 42ba0ecb-bf66-4cdf-97a6-15d3587d9082 · outbound

This paper cites Spielberg, C ∗ -algebras for categories of paths associated to the Baumsla g- Solitar groups , J.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Spielberg, C ∗ -algebras for categories of paths associated to the Baumsla g- Solitar groups , J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.409526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bacd7e63-cf72-43ad-ab16-4046eafe7a77 · outbound

This paper cites Spielberg, Groupoids and C ∗ -algebras for categories of paths , Trans.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Spielberg, Groupoids and C ∗ -algebras for categories of paths , Trans

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.388023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0706b1bd-5af0-451b-bd08-bfe6362466d2 · outbound

This paper cites Spielberg, Groupoids and C ∗ -algebras for left cancellative small categories , Indiana Univ.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Spielberg, Groupoids and C ∗ -algebras for left cancellative small categories , Indiana Univ

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.361928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f25a28fc-0e3e-4437-836d-a17fa6cd69be · outbound

This paper cites Steinberg, A groupoid approach to discrete inverse semigroup algebras , Adv.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Steinberg, A groupoid approach to discrete inverse semigroup algebras , Adv

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.341176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7a7cfc85-39d3-412a-9918-cac486e314f2 · outbound

This paper cites Steinberg and N.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Steinberg and N

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.315179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7b5abd58-cbf3-4c08-85a6-3002c7c91d75 · outbound

This paper cites Webster, The path space of a higher-rank graph , Stud.

An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity Webster, The path space of a higher-rank graph , Stud

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:50:50.295782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.