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Paper Citation Record · LEDGER

The regular representation of Neretin groups is factorial

As of 15 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 3 inbound Pith citation observations for arXiv:2506.24029.

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

pith.paper-citation-record.v1
2506.24029 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:42:32.276440Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:50:02.437763Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a52e2cc-d929-410a-b095-0192ba7bb7cf · outbound

This paper cites On the type of the von Neumann algebra of an open subgroup of the Neretin group.

The regular representation of Neretin groups is factorial On the type of the von Neumann algebra of an open subgroup of the Neretin group

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:34.806860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:31.213040Z digest=sha256:67d36cad7ce20b3a3cbc90d3267344c449ca72c30c49ff37a769f0031cc6259a

Observation af26ab90-2656-4f44-a59f-f53b0c717dc2 · outbound

This paper cites Hecke C∗-algebras and amenability.

The regular representation of Neretin groups is factorial Hecke C∗-algebras and amenability

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:33.050498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:32.119205Z digest=sha256:55b9e2245443fe3fe2c43281423266f64c5528ffca3724c6930f8247c6509024

Observation 59782b2f-aae9-4047-bea9-bc50be3d66c3 · outbound

This paper cites The regular representation of restricted direct product groups.

The regular representation of Neretin groups is factorial The regular representation of restricted direct product groups

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:34.256125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:31.502761Z digest=sha256:a4d94000d22b4362ed4a6b16f413e66eecdd63aea69d28cd1f235e8e7c3110d4

Observation a8538102-6f96-4beb-9c1b-58ff20edbaca · outbound

This paper cites Factoriality of twisted locally compact group von Neumann algebras.

The regular representation of Neretin groups is factorial Factoriality of twisted locally compact group von Neumann algebras

Reference 12

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T21:42:32.695779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:32.186462Z digest=sha256:06bd5eb9e4e98061aa7bc51d8655ce53aeddf668f99387ac646f6733643a3e0c

Observation 7bfa14fd-eb8f-4b85-82fb-3fbac7baf5cb · outbound

This paper cites Simple groups without lattices.

The regular representation of Neretin groups is factorial Simple groups without lattices

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:34.624513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:31.312757Z digest=sha256:3a251452d65e2689ad0c44dc616664dcbf5ee29c23c42f37e102ed4ae2925136

Observation df50fc10-efdd-432d-ad01-24f012a3cb5e · outbound

This paper cites Piecewise strongly proximal actions, free boundaries and the Neretin groups.

The regular representation of Neretin groups is factorial Piecewise strongly proximal actions, free boundaries and the Neretin groups

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:34.073666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:31.561883Z digest=sha256:aaf2d2da15f76962d8ea0d499676cdf1cfc85905a040a45ec413c895fca9323c

Observation e3de66a9-9511-4359-8b04-61ecfca8c3df · outbound

This paper cites Springer-Verlag, Berlin-New York, 1977, pp.

The regular representation of Neretin groups is factorial Springer-Verlag, Berlin-New York, 1977, pp

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:33.695024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:31.842767Z digest=sha256:aad9d764c4d39c4c66da324b8ab251a96c40e7bfe30b417d0cc18bbc925c5fe7

Observation 12b0b45f-afb2-4206-a4a1-0ce86c2f0b39 · outbound

This paper cites Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index.

The regular representation of Neretin groups is factorial Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index

Reference 161

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:33.249384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:32.028908Z digest=sha256:778172e5520adc6d6e5d58ed61af6053877014c5211b975610f0588f6fb22493

Observation 9f878119-45ae-4049-a8a8-967be7761110 · outbound

This paper cites American Mathematical Society, Providence, RI, 2020, pp.

The regular representation of Neretin groups is factorial American Mathematical Society, Providence, RI, 2020, pp

Reference 250

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:34.426708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:31.406816Z digest=sha256:ec62a3af916b604635408d84d2f7c79e5b57734546ff8df386c46131af0cffdc

Observation a3017bb4-5e77-4107-a39b-85309d78490c · outbound

This paper cites Murray–von Neumann di- mension for strictly semifinite weights.

The regular representation of Neretin groups is factorial Murray–von Neumann di- mension for strictly semifinite weights

Reference 447

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:33.889607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:31.651839Z digest=sha256:783e3d432407bf76b47c3df51940771d83669ac1cc31e5d13ad391c16241b7fb

Observation cf00a767-7f7e-4c92-b93e-4ea222b07da5 · outbound

This paper cites Neretin groups admit no non-trivial invariant random subgroups.

The regular representation of Neretin groups is factorial Neretin groups admit no non-trivial invariant random subgroups

Reference 2019

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:42:32.479129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:32.276440Z digest=sha256:e71236fc34ff926d063bdb532b42b03b65d91029e318e8b48726a1eca701f0fb

Observation cd0c0ac1-4f05-4703-be31-193adb399c69 · outbound

This paper cites Locally compact piecewise full groups of homeomorphisms.

The regular representation of Neretin groups is factorial Locally compact piecewise full groups of homeomorphisms

Reference 2025

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T21:42:32.842311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:31.763081Z digest=sha256:61d4cdd649b80a7d2863af1669f0e5d23c8a53d655b08079b5d0ee7007d22bd3

Observation 6a229b66-1cf6-4715-8e4c-040dbe9772ea · outbound

This paper cites C∗-simplicityofrelativeprofinitecompletionsofgeneralizedBaumslag- Solitar groups.

The regular representation of Neretin groups is factorial C∗-simplicityofrelativeprofinitecompletionsofgeneralizedBaumslag- Solitar groups

Reference 2505

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:33.473644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T21:42:31.963804Z digest=sha256:03d92c58d0c8f0b1b53de523caff6603757abc667279aeccac57b81a57c0fde8

Pith citing papers

Observation f4da76af-3a9c-47e6-8b1c-00a408817737 · inbound

Projective representations of almost unimodular groups cites this paper.

Projective representations of almost unimodular groups The regular representation of Neretin groups is factorial

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-04T19:50:02.437763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T19:50:02.437763Z digest=sha256:e1511a4e8e3c6923a0ba09655e237a382a5254fd474a9cb14b18fba6c64313d1

Observation 53edf8c6-e0ad-4010-9bc6-bb60f6c3d3ff · inbound

Non-strong ergodicity of canonical actions of the Thompson groups cites this paper.

Non-strong ergodicity of canonical actions of the Thompson groups The regular representation of Neretin groups is factorial

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-04T09:57:00.634773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:00.634773Z digest=sha256:1a6ab659d2adb404c77519215b003629c2ecb1d326b78c481ad261efe721db1c

Observation e4aa14ee-d2f1-48c8-811d-8db24ff33e24 · inbound

On ergodicity of linear actions on $\mathbb{R}^n$ and factoriality of group von Neumann algebras cites this paper.

On ergodicity of linear actions on $\mathbb{R}^n$ and factoriality of group von Neumann algebras The regular representation of Neretin groups is factorial

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T08:03:26.953255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T08:03:26.953255Z digest=sha256:9cc66bc9fda240a831a98445c45c05be217e9d35432160bc911ca243a091ee6f