Paper Citation Record · LEDGER

$p$-nuclearity of reduced group $L^p$-operator algebras

As of 21 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2412.18643.

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

pith.paper-citation-record.v1
2412.18643 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:59:42.755662Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

41 of 41 outbound references displayed

verified exact1
verified fuzzy21
unresolved19
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External citation measurements

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Outbound references

Observation 6a841451-a5f1-4e18-839b-d798d31ddb2f · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:43.304474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation abf54b4b-afbd-490a-af39-f74817828f0f · outbound

This paper cites Anantharaman-Delaroche, On tensor products of group C ∗ -algebras and related topics, Limits of graphs in group theory and computer scienc e, EPFL Press, Lausanne, 2009, pp.

$p$-nuclearity of reduced group $L^p$-operator algebras Anantharaman-Delaroche, On tensor products of group C ∗ -algebras and related topics, Limits of graphs in group theory and computer scienc e, EPFL Press, Lausanne, 2009, pp

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.293266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9a68b11e-5874-4650-a233-babf28afb7ab · outbound

This paper cites Blecher and N.

$p$-nuclearity of reduced group $L^p$-operator algebras Blecher and N

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.280437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 43f3c4bc-203d-4deb-9b37-acc1c2b21029 · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:43.266980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3fddf4b6-0380-49ac-82ad-17527d9f1080 · outbound

This paper cites Connes, On the cohomology of operator algebras, J.

$p$-nuclearity of reduced group $L^p$-operator algebras Connes, On the cohomology of operator algebras, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.253790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ef32d1aa-8832-462b-a3c2-dfe6a91ba34d · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:43.241114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d66e3d09-af32-4019-aab8-cf6fab785881 · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:43.229151Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9d5d606d-63fe-4cf1-8111-b186b9b8d99a · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:43.218015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2b4ccf06-d2bb-46a4-8400-a42ab4a369b4 · outbound

This paper cites Garth Dales, P.

$p$-nuclearity of reduced group $L^p$-operator algebras Garth Dales, P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.207202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c316cf4d-8051-4a7a-89d2-8bb6f16023d4 · outbound

This paper cites Daws, p-operator spaces and Fig ` a-Talamanca–Herz algebras, J.

$p$-nuclearity of reduced group $L^p$-operator algebras Daws, p-operator spaces and Fig ` a-Talamanca–Herz algebras, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.196386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9955bfee-1fbd-4a08-bef1-d6329853bf9d · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:43.185308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e4f0a32c-20b0-4003-b3ec-70265840c615 · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:43.174242Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 80e1b4f4-b0d6-4dbf-9719-b9bf893ce3f7 · outbound

This paper cites Gardella, H.

$p$-nuclearity of reduced group $L^p$-operator algebras Gardella, H

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.163690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b37366c8-5ec0-46a7-8aaf-4faa634ae4b4 · outbound

This paper cites Gardella, H.

$p$-nuclearity of reduced group $L^p$-operator algebras Gardella, H

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.152932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7896295a-8208-481f-9d50-d95421459f11 · outbound

This paper cites Gardella, M.

$p$-nuclearity of reduced group $L^p$-operator algebras Gardella, M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.143008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1f844294-eae0-4e64-a172-148c68efcef6 · outbound

This paper cites Gardella, H.

$p$-nuclearity of reduced group $L^p$-operator algebras Gardella, H

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.131820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ff8cbcf2-1bd1-414a-a8b8-c2231355eb2b · outbound

This paper cites Gardella, A modern look at algebras of operators on Lp-spaces, Expo.

$p$-nuclearity of reduced group $L^p$-operator algebras Gardella, A modern look at algebras of operators on Lp-spaces, Expo

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.120168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e1779d6f-51c4-43d6-86db-35e11e6197c6 · outbound

This paper cites Gardella, H.

$p$-nuclearity of reduced group $L^p$-operator algebras Gardella, H

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.108298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aabc98f6-9354-4070-a522-e5ad43adea45 · outbound

This paper cites Haagerup, All nuclear C ∗ -algebras are amenable, Invent.

$p$-nuclearity of reduced group $L^p$-operator algebras Haagerup, All nuclear C ∗ -algebras are amenable, Invent

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.096141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2ad5a7f3-06ad-4314-a559-be72fbe4fee5 · outbound

This paper cites Herz, The theory of p-spaces with an application to convolution operators, Tran s.

$p$-nuclearity of reduced group $L^p$-operator algebras Herz, The theory of p-spaces with an application to convolution operators, Tran s

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.085508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b2214c66-e9c9-40aa-bcc7-36204bc625fb · outbound

This paper cites Herz, Harmonic synthesis for subgroups, Ann.

$p$-nuclearity of reduced group $L^p$-operator algebras Herz, Harmonic synthesis for subgroups, Ann

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.074117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 822df235-e07a-48e7-a049-9e7be18b4b91 · outbound

This paper cites Herz, On the asymmetry of norms of convolution operat ors, I.

$p$-nuclearity of reduced group $L^p$-operator algebras Herz, On the asymmetry of norms of convolution operat ors, I

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.063117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d1057065-c24e-4347-8a20-8ef4a6e1fc9e · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:43.050775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8b42dd26-9954-49bc-876b-3daabc23bae7 · outbound

This paper cites Kirchberg, C ∗ -nuclearity implies CPAP, Math.

$p$-nuclearity of reduced group $L^p$-operator algebras Kirchberg, C ∗ -nuclearity implies CPAP, Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.039455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8900f852-9de8-4bc3-a2ed-cfdf133c4c83 · outbound

This paper cites Kwapie ´ n, On operators factorizable through Lp space, Suppl ´ ement au Bull.

$p$-nuclearity of reduced group $L^p$-operator algebras Kwapie ´ n, On operators factorizable through Lp space, Suppl ´ ement au Bull

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.028292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c85fc316-bce5-452f-aef8-d2f1a8549f75 · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:43.017225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ffcc21de-66f1-4e33-9053-7eca37359fbf · outbound

This paper cites Lee, On p-operator spaces and their applications, ProQuest LLC, Ann Arbor, MI, 2010, 118 pp.

$p$-nuclearity of reduced group $L^p$-operator algebras Lee, On p-operator spaces and their applications, ProQuest LLC, Ann Arbor, MI, 2010, 118 pp

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:43.006592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f30e71ea-c890-4ff8-af1a-542d8b31602f · outbound

This paper cites Le Merdy, Factorization of p-completely bounded multilinear maps, Paciﬁc J.

$p$-nuclearity of reduced group $L^p$-operator algebras Le Merdy, Factorization of p-completely bounded multilinear maps, Paciﬁc J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:42.995826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e1c33892-651a-4954-987c-75d4659b2077 · outbound

This paper cites Analogs of Cuntz algebras on $L^p$ spaces.

$p$-nuclearity of reduced group $L^p$-operator algebras Analogs of Cuntz algebras on $L^p$ spaces

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T04:59:42.707054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 539351b0-f685-4fb7-8799-92ad727434c4 · outbound

This paper cites Simplicity of UHF and Cuntz algebras on $L^p$~spaces.

$p$-nuclearity of reduced group $L^p$-operator algebras Simplicity of UHF and Cuntz algebras on $L^p$~spaces

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T04:59:42.711049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30d46122-dad1-4aaf-8357-986a676e8586 · outbound

This paper cites Isomorphism, nonisomorphism, and amenability of L^p UHF algebras.

$p$-nuclearity of reduced group $L^p$-operator algebras Isomorphism, nonisomorphism, and amenability of L^p UHF algebras

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T04:59:42.715127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06d90e97-b2ff-47cd-b944-e0e089b4e11c · outbound

This paper cites Crossed products of $L^p$ operator algebras and the K-theory of Cuntz algebras on $L^p$ spaces.

$p$-nuclearity of reduced group $L^p$-operator algebras Crossed products of $L^p$ operator algebras and the K-theory of Cuntz algebras on $L^p$ spaces

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T04:59:42.719022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73ee0584-7945-44a0-9d5e-1ad4904b9c7f · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:42.985639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1330c0af-6c30-4818-b586-adc7d9b17767 · outbound

This paper cites look like.

$p$-nuclearity of reduced group $L^p$-operator algebras look like

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T04:59:42.726871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad309c67-a697-4a54-a3a9-5d03da262baa · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:42.974836Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9e989c9a-12e9-4ce8-8420-b1e78a94498e · outbound

This paper cites Pisier, Tensor products of C ∗ -algebras and operator spaces–the Connes-Kirchberg problem, London Math.

$p$-nuclearity of reduced group $L^p$-operator algebras Pisier, Tensor products of C ∗ -algebras and operator spaces–the Connes-Kirchberg problem, London Math

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:42.963868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b607874c-faf5-471c-84fe-21b000e1f0fd · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:42.951733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e8ffde09-5f66-4d18-8dfb-1896f042dc39 · outbound

This paper cites Takesaki, On the cross-norm of the direct product of C ∗ -algebras, Tohoku Math.

$p$-nuclearity of reduced group $L^p$-operator algebras Takesaki, On the cross-norm of the direct product of C ∗ -algebras, Tohoku Math

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:59:42.939809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c5a5ce08-e0e7-454e-9265-d18dccbe8186 · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:42.928263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b3d761e2-36bb-4dd7-9e73-f082a79f9db6 · outbound

This paper cites an unresolved cited work.

$p$-nuclearity of reduced group $L^p$-operator algebras Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:59:42.916934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a6a36ef3-b712-42bc-a872-f399556ac038 · outbound

This paper cites $p$-nuclearity of $L^p$-operator crossed products.

$p$-nuclearity of reduced group $L^p$-operator algebras $p$-nuclearity of $L^p$-operator crossed products

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-11T04:59:42.793143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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