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Paper Citation Record · LEDGER

Essential groupoid amenability and nuclearity of groupoid C*-algebras

As of 19 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 3 inbound Pith citation observations for arXiv:2501.01775.

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

pith.paper-citation-record.v1
2501.01775 v3

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:29:57.513090Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:44:04.620890Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T19:20:05.791400Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 10d4ea3a-7901-4ec3-976a-7d6cac7bb33f · outbound

This paper cites arXiv: 2406.05717.

Essential groupoid amenability and nuclearity of groupoid C*-algebras arXiv: 2406.05717

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T22:29:57.408788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:29:57.408788Z digest=sha256:8fb715269e044f2da3eb370675c2037531bd3a385fbab087d33afd792d4e3e67

Observation 52c39ed4-d930-4eda-a8c1-10f76c787764 · outbound

This paper cites On Hausdorff covers for non-Hausdorff groupoids.

Essential groupoid amenability and nuclearity of groupoid C*-algebras On Hausdorff covers for non-Hausdorff groupoids

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-10T22:29:57.412640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:29:57.412640Z digest=sha256:12b954cc27b42a2ef2f0594b937de00b55b6d129ac8f8a9ed86b31876daa6f7d

Observation 036f4b11-bac4-4302-b1fa-0541bd4e75e6 · outbound

This paper cites Brown and Narutaka Ozawa, C*-algebras and finite-dimensional approxima- tions, Graduate studies in mathematics, American Mathematical S ociety, Providence, R.I, 2008 (en).

Essential groupoid amenability and nuclearity of groupoid C*-algebras Brown and Narutaka Ozawa, C*-algebras and finite-dimensional approxima- tions, Graduate studies in mathematics, American Mathematical S ociety, Providence, R.I, 2008 (en)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.912372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.416560Z digest=sha256:d6dd897268d473e83c711b1273e3866887b4c828120ff435a36869bb772bcbfe

Observation 16d8b941-491f-4e70-ba00-c641592361a7 · outbound

This paper cites 88, Amer.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 88, Amer

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.902677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.420057Z digest=sha256:41e680756d454016af0c0b34e4da1d5a9b3e547ff59b664ce9656378cd703c80

Observation 576ab0b7-d3e5-4f41-81b5-ab483ce624dd · outbound

This paper cites C*-algebras and groupoids , Journal of Functional Analysis 286 (2024), no.

Essential groupoid amenability and nuclearity of groupoid C*-algebras C*-algebras and groupoids , Journal of Functional Analysis 286 (2024), no

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.893364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.424001Z digest=sha256:cdeae304502703d4d2abad84dd631a818662fde99674f5b6ef48b98fd172b60e

Observation bb2111f3-b5f9-421e-887d-7dd88bd15de4 · outbound

This paper cites Operator Theory 67 (2012), no.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Operator Theory 67 (2012), no

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.883918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.428280Z digest=sha256:b5f4d750d6734ee5e3f78262cf67fd8a1f42e3399d427edafc7e9dbe270b0cff

Observation 424fc915-b6c9-4408-9fb7-e32162f63e0b · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.873774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.432548Z digest=sha256:8936e381a69872d28aab2a7645d567142e70a7400e05d8a0786f319a661765ca

Observation 23d986e0-36a0-474d-848c-fb52dbd1b728 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.863958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.435753Z digest=sha256:940500a11c32373110bc1e284ca28f67b8ae6b335ed515888aeacac5682f8f2c

Observation 451ba97a-433d-4a55-8f2b-bc8b0488fd75 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.854239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.439203Z digest=sha256:daf508b878f9f2ca8f4fdee2ee4a45e548835e5d456975e78710bf992554b0d7

Observation 0ae9ea9a-eac5-46b0-870a-46a27e94b2ec · outbound

This paper cites 5, 3669–3712.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 5, 3669–3712

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.845020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.442599Z digest=sha256:d397b0c9722314e4a76714068d1d5467cd7cada90409072532d81e5920fdf471

Observation 02b49f4a-3a8a-42d8-8af7-053dbcb11901 · outbound

This paper cites Elliott and Zhuang Niu, On the classification of simple amenable C*-algebras with finite decomposition rank , arXiv: Operator Algebras (2015).

Essential groupoid amenability and nuclearity of groupoid C*-algebras Elliott and Zhuang Niu, On the classification of simple amenable C*-algebras with finite decomposition rank , arXiv: Operator Algebras (2015)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.835703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.445882Z digest=sha256:237b9c127cfe7951bb12f088ff246629e8d96423b3e848b7d0524ec8cb80f841

Observation f425dea7-6ecd-4389-a006-f442400730bd · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.824009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.449041Z digest=sha256:edca233fc933e53833d2c7ed7760b999f6d39842a68b553eb5ffe986be164642

Observation e81093bf-dd4f-45c2-b00b-f6d92c1aeac7 · outbound

This paper cites Pitts, Characterizing groupoid C∗ -algebras of non-Hausdorff étale groupoids , Lecture Notes in Mathematics, vol.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Pitts, Characterizing groupoid C∗ -algebras of non-Hausdorff étale groupoids , Lecture Notes in Mathematics, vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.813503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.452714Z digest=sha256:a13ef342640799ba2f116c282282e76714faf219a2ba325f24a8484e668b5237

Observation 6648c142-2a73-405d-b07f-df0322512758 · outbound

This paper cites Systems 37 (2017), no.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Systems 37 (2017), no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.802010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.455994Z digest=sha256:206849ed94dd81743658afe272225e43396fdb2f76066eea904de4b094b2401f

Observation b821887e-ae97-4580-9c82-e976d081c7cc · outbound

This paper cites Reine Angew.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Reine Angew

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.792658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.459088Z digest=sha256:c143490a96f992642ef4cd300417cc3ac294850ada7116b57c74f024965f4601

Observation 1a4d61ac-cbb9-4035-945c-5687b1e7a284 · outbound

This paper cites Operator Theory 89 (2023), no.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Operator Theory 89 (2023), no

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.782300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.462043Z digest=sha256:c547b741a0cd2ab3a57f233853badf4411938efa8d6f192309fc6545a03ce3b8

Observation 0a4d27ae-0fc9-463a-827f-983aa7334651 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.772428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 5eae4371-2f3c-4a41-9f7f-88ccbeb8b20c · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.762281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.468208Z digest=sha256:e1de031a136faa45fc51204e3cb8f96cfc624a3ac4fddd316a99984a9dc0f9f3

Observation f2291207-2a0a-465d-924b-b4ba9a6a0394 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.753153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.471476Z digest=sha256:75dfd3eda6895ed010cdee342b37aada0a3f4331fd35b36185384211d9e646a1

Observation c4767048-1862-4600-a8ac-67ae1fe475ab · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.742674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.474653Z digest=sha256:33d2651cecff8fc43c17516337cb298c46c6c7d985518ee9b1c17fcf2cb548d3

Observation 1e7bc025-0ee7-4e55-a992-f6f92a743805 · outbound

This paper cites 96, Cambr idge University Press, Cambridge, 2020.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 96, Cambr idge University Press, Cambridge, 2020

Reference 21

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verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.731542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.478152Z digest=sha256:629c05cf90f15e46923e3c323aae00a5fdeb97c8496ea928df879d3e6a8ed0d9

Observation c856acfc-08ae-4c61-88b8-47b0d8156591 · outbound

This paper cites 793, Springer, Berlin, 1980.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 793, Springer, Berlin, 1980

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.720487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.481142Z digest=sha256:8c1f53377c34d7f65e4168e253e0ec4e33c9affac2dec9c4265d87b168794ff5

Observation c4a62c92-d900-4ff1-b25e-1eb64a4bfc88 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.710774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.484619Z digest=sha256:3c8eeb228c9118da016d2865e73a852a4702aa9e99906c0e28e0b9ef4f0b9294

Observation a22ced29-e836-4050-9503-ffe8cb12b52a · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.701530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.487595Z digest=sha256:11b1449a3150191bb6973c589c44767d60c63668151b658fe19af318c2510ce7

Observation f96e4042-b236-46c0-b685-f81ccc82981a · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.691984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.490685Z digest=sha256:886b1e305ff4e771750deaa8c3fdb81aa8f0942874defb459c110f9669d74fa2

Observation a0b79562-9565-4379-ad6c-fa490e960b48 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.682519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.494066Z digest=sha256:a7c6b772cb5d29f5abe6c71b3cf8836e5f83fd7d6099be5779f1044e3226309d

Observation 3bcbc139-1ebd-470c-9ca2-4bd2e1e1e4ea · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.671214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.497167Z digest=sha256:ee66b3ee3687484ff749e764cd7ebd1017a36c8261fc4d59d87c50efcaf2b19a

Observation e76c6db4-2283-473d-9633-a24c21ea3cd7 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.660146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.500406Z digest=sha256:9406e979b0ce5c15f6f1e460e2f7de71c070629a15deecc2de4a53b67350d374

Observation e2da3b4d-b2d6-4c98-a0bc-85d98b1dc48f · outbound

This paper cites 1, 229–284.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 1, 229–284

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.650069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.503764Z digest=sha256:ec818bea5400083025bee61bcbb41c408e5981b71a1461a68f51ab1e68f8b3ee

Observation 9045fa0d-8e28-4279-bf81-3d3bcec12be9 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.639811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.507099Z digest=sha256:3b434d3776be26a4c225eda4bf6dd1849a4b32b7de28617582ce6f28125e94c9

Observation 1213ebc8-a674-4d42-b095-652e8ad0ee46 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.629658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.509925Z digest=sha256:4c97dd77676d52978df3dc2ef101e6b6d5ffbcfbfd6beea5f66e6815df20f3e1

Observation fca2a954-ae29-424d-bee3-059bac3b1385 · outbound

This paper cites 2, 461–498.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 2, 461–498

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.618782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-10T22:29:57.513090Z digest=sha256:908990e277887fec51c72bc6e822cf745500def1428bce21ee20893b4de0e768

Pith citing papers

Observation 08d8cc6f-c09e-42b7-86c8-873ac7954dc7 · inbound

The ideal structure of C*-algebras of etale groupoids with isotropy groups of local polynomial growth cites this paper.

The ideal structure of C*-algebras of etale groupoids with isotropy groups of local polynomial growth Essential groupoid amenability and nuclearity of groupoid C*-algebras

Reference 2008

Resolution
unresolved
no resolver link, observed 2026-08-11T14:44:04.620890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:44:04.620890Z digest=sha256:d19b5447ca32c5541333dcccd41f421e31d0a5c3451616cde6d1a9d60a3dc23d

Observation 1a073e1f-7631-4c3c-999c-4abed678a4f9 · inbound

Algebraic singular functions are not always dense in the ideal of $C^*$-singular functions cites this paper.

Algebraic singular functions are not always dense in the ideal of $C^*$-singular functions Essential groupoid amenability and nuclearity of groupoid C*-algebras

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-18T10:56:17.615010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-18T10:55:16.681816Z digest=sha256:3066216b97fbe2a1a9c05936ce34e721e6a7c5bfcfead22f63bf9dee89906050

Observation 8f2c2566-e2d1-46a6-bf62-72335c03682c · inbound

A Baum-Connes assembly map for essential semigroup crossed products cites this paper.

A Baum-Connes assembly map for essential semigroup crossed products Essential groupoid amenability and nuclearity of groupoid C*-algebras

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-07-04T19:20:05.795116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-25T21:34:28.760949Z digest=sha256:9ce825b1f344c64b83595115297ef6147fe432ee20176564eebb21431bc799f4