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Paper Citation Record · LEDGER

Maximal discrete subgroups in unitary groups of operator algebras

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2206.06704.

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

pith.paper-citation-record.v1
2206.06704 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T12:22:42.512551Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a208836-65b5-4f3d-8b15-0947d89638b0 · outbound

This paper cites Allan, Maximality of some arithmetic groups , An.

Maximal discrete subgroups in unitary groups of operator algebras Allan, Maximality of some arithmetic groups , An

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.325167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:39075499a1ab41918e4161c78490fa09e0d49845397e2e601295f8ffad614ca5

Observation c3a06eaf-8bdb-48f4-8eaf-e32d031b36ba · outbound

This paper cites Belolipetsky and A.

Maximal discrete subgroups in unitary groups of operator algebras Belolipetsky and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.318041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:0b61d71dbb79f6eb36b10bd32ba13e2e19d172b47bd8aa2f24b0e5b090908a4f

Observation 070c63da-7a54-4834-ae12-1d2baf0550e0 · outbound

This paper cites Collins, Bounds for finite primitive complex linear groups , J.

Maximal discrete subgroups in unitary groups of operator algebras Collins, Bounds for finite primitive complex linear groups , J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.307005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:06f4383d02aca2bce4e49ad4b168addfebf89d5fe5cc9133cdc6bfd0bf557d2e

Observation b14b9223-99ae-4850-a32d-8a94f8363812 · outbound

This paper cites Connes, Classification of injective factors.

Maximal discrete subgroups in unitary groups of operator algebras Connes, Classification of injective factors

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.314264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:6744faf7e0b0a83c8eabfbfc8145519fb8ab05470cab69c9c51397287c5d4453

Observation 5ebfcd8f-2b04-4107-a0c4-9b32bbe4597e · outbound

This paper cites Helling, Bestimmung der Kommensurabilit¨ atsklasse der Hilbertsch en Modulgruppe , Math.

Maximal discrete subgroups in unitary groups of operator algebras Helling, Bestimmung der Kommensurabilit¨ atsklasse der Hilbertsch en Modulgruppe , Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.303007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:4cb2be1462a0d0c2edd5d974469111d2b123243a0430e4c60de22152b0c52b9e

Observation 16c912a3-2e17-4609-ba3a-d219b4d26dd4 · outbound

This paper cites Hull and D.

Maximal discrete subgroups in unitary groups of operator algebras Hull and D

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.291270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:966a631bf3f5e9ea4e4855418c4e0a201eb0ce6a0c2ea2d8c14b34363d3235b3

Observation 6bea498c-5273-40d4-a64c-2398415cd1c5 · outbound

This paper cites Jacobson, A mixed identity-free elementary amenable group , Comm.

Maximal discrete subgroups in unitary groups of operator algebras Jacobson, A mixed identity-free elementary amenable group , Comm

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.321700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:d073b4fc6a9e04cf865bd85ff13dd4be8130bdacdb34dc08145c3d761df686f0

Observation fb5865d4-95d9-45e9-8284-a659420f9251 · outbound

This paper cites Kuranishi, On everywhere dense imbedding of free groups in Lie groups , Nagoya Math.

Maximal discrete subgroups in unitary groups of operator algebras Kuranishi, On everywhere dense imbedding of free groups in Lie groups , Nagoya Math

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.299276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:fd4f477386693556b28925d57838518edda340f22c61b0e834aa6d66b242432c

Observation ba6df0dc-5b7c-423f-ba4c-0bed67861b4b · outbound

This paper cites Gutnik and I.I.

Maximal discrete subgroups in unitary groups of operator algebras Gutnik and I.I

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.295465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:4356a754d38e4979676cd55c30f968505a944463f962cc892e1c4f1eec5c0b2c

Observation 2cfc5449-20a7-4809-b538-288311a057ea · outbound

This paper cites Popa, Free-independent sequences in type II1 factors and related problems , Ast´ erisque232 (1995), 187–202.

Maximal discrete subgroups in unitary groups of operator algebras Popa, Free-independent sequences in type II1 factors and related problems , Ast´ erisque232 (1995), 187–202

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.329203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:814ca868523672b0cbed9ba9d4645661e11e17872b8403a3dfa69042cfb891bc

Observation 53bb81a5-7dab-43ef-aa7d-d8ae55cb7d03 · outbound

This paper cites an unresolved cited work.

Maximal discrete subgroups in unitary groups of operator algebras Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-24T12:24:28.310521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:e3f5bb179804825724458f21cf4bde2708c2360a97941614e5002974a2dbf3ea

Observation 8d1ab4a9-2b40-4aad-a26f-f73e22294ef0 · outbound

This paper cites Toyama, On discrete subgroups of a Lie group , K¯ odai Math.

Maximal discrete subgroups in unitary groups of operator algebras Toyama, On discrete subgroups of a Lie group , K¯ odai Math

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.333123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:9ec9946a4259ee4a256d56c6fa1e8243e24be35d272327a4e8be1aa75949ff1c

Observation cdc484f7-6153-4da4-9b87-ae1e2a13b548 · outbound

This paper cites Wang, On subgroups with property P and maximal discrete subgroups , Amer.

Maximal discrete subgroups in unitary groups of operator algebras Wang, On subgroups with property P and maximal discrete subgroups , Amer

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.337094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:4722898841c7b6f589b0ebbb7e04e1ca510e806535564db7a74bde3484c87807

Observation 50c172f6-4e62-41e0-9089-e9f59007cd16 · outbound

This paper cites an unresolved cited work.

Maximal discrete subgroups in unitary groups of operator algebras Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-24T12:24:28.344474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:03c1674a30ee0e2894461983003d466e6fdd261e649e600e84a87cda197efe97

Observation 4740152e-9746-446d-8ddc-d9e1f42b54b3 · outbound

This paper cites Zassenhaus, Beweis eines Satzes ¨ uber diskrete Gruppen , Abh.

Maximal discrete subgroups in unitary groups of operator algebras Zassenhaus, Beweis eines Satzes ¨ uber diskrete Gruppen , Abh

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:24:28.340827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-24T12:22:42.512551Z digest=sha256:11c78c3acfe20734ce23f77aeb3b8011d8687d88e2cb2da63dcc12ea52052433

Pith citing papers

No inbound Pith citation observations are available.