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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 2026-08-18T06:34:40.430872+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=sha256:62452cab661f180a0ce91cd2ff87e16bfea87b5e94cc9a0346f3dbc452068482

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=sha256:42e5514a30a9e0d476ac79400f6764ffca138a698bd705f8475f0d4a3d472a91

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.416560Z digest=sha256:26c3ab731b6b30f18e8837d88b51f60b86c9dd38aa3f489c780921f487e5ea0d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.420057Z digest=sha256:26f5a0d506ef5d375ee12e8bacb63c9881438515a12703f97b9cb4a1eb53626f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.424001Z digest=sha256:25a200a992a31c297ace21d5036b19ad2179b676654d250b203071286dd1a64d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.428280Z digest=sha256:5aa5626bb7cfac229327a3bbdff6e741780c5fd4ceb6d708aea31c0043995bbb

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.432548Z digest=sha256:36f326a1cc272f495726efcc2b2e2fd8ac3f179558fbc2b5ff1688cb1744aa83

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.435753Z digest=sha256:9e4d4429f6f79bcdc4a9ca8ca4a102583e71e73f540c2f0cb75dca1c4ae1e9f3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.439203Z digest=sha256:aa1e750edd44e13f4ce5faa485721f2e84ec8264833ba2c4d2ff1a1b936a973a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.442599Z digest=sha256:18cbe735ee31abcbd3ef2cc8ff6bbbe24a2162ff02f8df5332a7343fb9035283

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.445882Z digest=sha256:5e64631992570ddc81fc1059cf548b5bcecc8bb356e533387bf58fea8b7fed51

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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.452714Z digest=sha256:d3e71af1d850872c57681cdfb38a8e9d5eebd0f30a8ff3fe9ad3e2e1bf8d68d4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.455994Z digest=sha256:6d5fab47c85b3288e8d39ee764ab5140ba7d6ba75812d39aea9c5e9672f3cc4a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.459088Z digest=sha256:c160fbf1bae814246d01ab1d881ef9c2f995dc16d8994d5f0d996c3ff1c432ae

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.462043Z digest=sha256:bb2a25f19ecf34b1e2453a17d82d0bd78f263ffb17493300599bae8956fc9e0d

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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.468208Z digest=sha256:7c2b3995f89984391b16ee64a81fbe76892a446ce7e617408b86db97500d2a85

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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

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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

Resolution
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.478152Z digest=sha256:4cc4f0e1c241d3a9c3aa9c19d1ef7166ad0443792e0a600257ad145c5336a32b

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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.484619Z digest=sha256:8da5f542951d30e310c8d812d8107670e1b77f3603e15dc103e59eea525674d0

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.487595Z digest=sha256:dc93b24e1baf803db1ec800b1e33472275daca151ce85fcfb06ef90e845c77e8

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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.494066Z digest=sha256:7e3ce12ec951632e8cfbd33d5d5887079fd88ce48df4f4c9c7078d61f0a4b959

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.497167Z digest=sha256:b05aab80140171a6403b52ea8bf1bca9ec7825d583f82c286e7191e0a9ae8643

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.500406Z digest=sha256:b94a0e32ce76f7ecc97e299500ae1c56f96ba4cd120096ad8e591183237b3c50

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.503764Z digest=sha256:2a1d43132560bb5367e234375a23c23f350de3e9b249d75703cffbd546bc1d64

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.507099Z digest=sha256:711cfb29eb77be958f2cf1a819c933bcbebb18bf6179e0bee0e270c3a1789d82

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.509925Z digest=sha256:46ae78b1949e458c55e0478b7414a67f800b460b00c92b37d5149ba1a0f5425f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:29:57.513090Z digest=sha256:0bf4b3706eabe7dc2cd4ecd328f35aa4d664caa9120ffb9ce6c41a34d3204d2f

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=sha256:1f0a1b2b63b757f0e905db6a972a9bda9b8dc0e560e4c488888ad82523e37553

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-18T10:55:16.681816Z digest=sha256:abd191bc14314a6e8860f0a0873e8a76850c6ba472c068ca819b2aede1318913

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-25T21:34:28.760949Z digest=sha256:c93669838476601dfdc31018d1f5b8f47b3b340475ddd753d841e047c2fee88d