Paper Citation Record · LEDGER

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications

As of 8 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2507.12271.

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

pith.paper-citation-record.v1
2507.12271 v1

Coverage vector

measured 51 of 51 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T17:01:20.365106Z

measured 52 of 52 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:02:50.645260Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T22:02:50.847229Z

Reference resolution

51 of 51 outbound references displayed

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External citation measurements

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Outbound references

Observation 90c4006b-ee5d-4b92-b2ee-c5a10d0dd3f8 · outbound

This paper cites Anantharaman-Delaroche, On tensor products of group C ∗-algebras and related topics , Limits of graphs in group theory and computer science, 1-35, EPFL Press, Lausanne, 2009.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Anantharaman-Delaroche, On tensor products of group C ∗-algebras and related topics , Limits of graphs in group theory and computer science, 1-35, EPFL Press, Lausanne, 2009

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:26.921976Z

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Observation 739b0ceb-f361-42ae-9f02-be5ebe4fb178 · outbound

This paper cites Archbold, J.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Archbold, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:26.806755Z

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Observation ba4cd4dd-dea6-49f2-a26a-6f310d0e7b80 · outbound

This paper cites Atkinson, On graph products of multipliers and the Haagerup property for C ∗-dynamical systems , Ergodic Theory Dynam.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Atkinson, On graph products of multipliers and the Haagerup property for C ∗-dynamical systems , Ergodic Theory Dynam

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:26.644423Z

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Observation 1458083f-8315-45f1-9e38-307523467db6 · outbound

This paper cites Avitzour, Free products of C∗-algebras, Trans.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Avitzour, Free products of C∗-algebras, Trans

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:16.457202Z

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Observation 8362ac0c-31cd-441d-b914-2ca1735fd082 · outbound

This paper cites Bj¨ orner, F.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Bj¨ orner, F

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:26.463697Z

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Observation 9d34638c-0b57-46e5-9e23-51c1487563e4 · outbound

This paper cites Blackadar, Operator algebras.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Blackadar, Operator algebras

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:26.300180Z

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Observation 1ed83a78-2d95-4f97-9a13-d8c66fe23b8c · outbound

This paper cites Borst, The CCAP for graph products of operator algebras , J.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Borst, The CCAP for graph products of operator algebras , J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:26.116298Z

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Observation 76d67f5e-9248-458e-bff9-169dd6a3f667 · outbound

This paper cites Borst, M.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Borst, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:25.925545Z

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Observation c3fcab18-f8ed-43e1-8562-e29314e592f3 · outbound

This paper cites Rigid Graph Products.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Rigid Graph Products

Reference 9

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Observation 366b39cf-6d5a-4cce-93c7-0b28f364f4b5 · outbound

This paper cites Borst, M.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Borst, M

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:16.923624Z

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Observation 3a2657b7-5d6a-41e2-89c5-7af8e737b99a · outbound

This paper cites Brown, N.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Brown, N

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:17.020101Z

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Observation eae32644-d7ab-4d43-86ee-e6757e52dd8a · outbound

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Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:01:25.719572Z

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Observation 445492ea-1876-4cd3-a148-d64b5f67210a · outbound

This paper cites Caspers, Connes embeddability of graph products , Infin.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Caspers, Connes embeddability of graph products , Infin

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:25.538701Z

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Observation 4bed8d14-0e4a-4d16-a424-e71140092d79 · outbound

This paper cites Caspers, Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras, Anal.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Caspers, Absence of Cartan subalgebras for right-angled Hecke von Neumann algebras, Anal

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:17.366011Z

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Observation a5f2e48f-fc98-49e0-968c-2a046208e0f5 · outbound

This paper cites Caspers, E.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Caspers, E

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:17.433851Z

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Observation 4155c102-d6dd-4379-ad48-54634ea6a273 · outbound

This paper cites Caspers, P.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Caspers, P

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:17.520668Z

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Observation c8cf82bb-c85a-4fd4-b724-e484d717b57c · outbound

This paper cites Caspers, M.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Caspers, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:25.395630Z

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Observation 0c11c6c6-55f8-497b-9f5c-de29c0a1e711 · outbound

This paper cites Charlesworth, B.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Charlesworth, B

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:25.232906Z

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Observation 37a45b05-fd4d-428b-afa9-d6f1ee1947a8 · outbound

This paper cites The atoms of graph product von Neumann algebras.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications The atoms of graph product von Neumann algebras

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:01:20.819862Z

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Observation eca93e10-8c16-4e15-815b-c62745d02394 · outbound

This paper cites On the structure of graph product von Neumann algebras.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications On the structure of graph product von Neumann algebras

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:01:20.682851Z

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Observation b83e1cfb-2a38-4448-998c-cc80278fbf69 · outbound

This paper cites Random permutation matrix models for graph products.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Random permutation matrix models for graph products

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:01:20.554164Z

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Observation a4255279-30e8-4112-950c-92960832c422 · outbound

This paper cites Chifan, M.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Chifan, M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:25.098904Z

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Observation 80cf0826-ef91-4ee6-bd85-05869ea7eb01 · outbound

This paper cites Chifan, M.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Chifan, M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:24.854095Z

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Observation e79c8bbb-f90d-41b4-a156-5ac5b6452df9 · outbound

This paper cites Chifan, S.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Chifan, S

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:24.714361Z

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Observation ca362790-2b9c-4d11-9392-ac1e3eea26c3 · outbound

This paper cites Chifan, R.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Chifan, R

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:24.552616Z

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Observation 7984f6dd-a0ea-49af-893e-f4e4aa3a38a8 · outbound

This paper cites an unresolved cited work.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Unresolved cited work

Reference 26

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Observation b5db271a-311a-46d4-9367-bf138005544f · outbound

This paper cites Dranishnikov, T.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Dranishnikov, T

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:24.368755Z

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Observation 9ede0054-a0ea-45ec-b254-ce80862406d8 · outbound

This paper cites W*-correlations of II$_1$ factors and rigidity of tensor products and graph products.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications W*-correlations of II$_1$ factors and rigidity of tensor products and graph products

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:18.704135Z

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Observation e4dbcfba-3931-449a-91bd-f8d72a10229d · outbound

This paper cites Dykema, Simplicity and the stable rank of some free product C ∗-algebras, Trans.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Dykema, Simplicity and the stable rank of some free product C ∗-algebras, Trans

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:24.125891Z

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Observation 4643024e-5476-4119-a796-cafba2b22fd1 · outbound

This paper cites Dykema, Exactness of reduced amalgamated free product C∗-algebras, Forum Math.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Dykema, Exactness of reduced amalgamated free product C∗-algebras, Forum Math

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:23.948711Z

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Observation 121837b0-289a-423a-9c7c-76f28e004778 · outbound

This paper cites Dykema, D.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Dykema, D

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:23.743441Z

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Observation 4ba59bc6-a217-4a9b-ba24-60a3c3ab4e36 · outbound

This paper cites xvi+584pp.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications xvi+584pp

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:18.546870Z

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Observation 0bfc9e2f-0672-4872-9b6d-72de39a39255 · outbound

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Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:01:23.376668Z

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Observation f9766555-1a42-4e60-a214-896241655dcc · outbound

This paper cites Garncarek, Factoriality of Hecke-von Neumann algebras of right-angled Coxeter groups , J.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Garncarek, Factoriality of Hecke-von Neumann algebras of right-angled Coxeter groups , J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:23.556091Z

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Observation 584a9048-783d-4fe8-8629-0ab2e5a9f274 · outbound

This paper cites Katsura, On C ∗-algebras associated with C ∗-correspondences, J.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Katsura, On C ∗-algebras associated with C ∗-correspondences, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:23.087076Z

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Observation b2181528-7c5f-403d-899e-04eb9549aad2 · outbound

This paper cites Hasegawa, Bass-Serre trees of amalgamated free product C ∗-algebras, Int.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Hasegawa, Bass-Serre trees of amalgamated free product C ∗-algebras, Int

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:23.246218Z

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Observation 2ac310bb-4c4a-46c5-9a6a-1e3cdeb3c025 · outbound

This paper cites Klisse, Topological boundaries of connected graphs and Coxeter groups , J.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Klisse, Topological boundaries of connected graphs and Coxeter groups , J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:22.698992Z

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Observation a6b80d8d-8fea-4208-9189-4031b2144d2d · outbound

This paper cites Katsura, A class of C ∗-algebras generalizing both graph algebras and homeomorphism C ∗-algebras.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Katsura, A class of C ∗-algebras generalizing both graph algebras and homeomorphism C ∗-algebras

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:22.874063Z

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Observation 971e3c2e-29dc-43d6-9d21-19ea6ac23dae · outbound

This paper cites an unresolved cited work.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:01:22.520161Z

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Observation f539a36f-37b9-4575-bed1-df86eec76c7d · outbound

This paper cites Klisse, Simplicity of right-angled Hecke C ∗-algebras, Int.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Klisse, Simplicity of right-angled Hecke C ∗-algebras, Int

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:19.453019Z

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Observation e80f370b-abc9-45aa-89ec-dd8e4f602f1a · outbound

This paper cites L´ ecureux,Amenability of actions on the boundary of a building , Int.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications L´ ecureux,Amenability of actions on the boundary of a building , Int

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:22.094945Z

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Observation be961119-80ef-41ae-bea4-e707a13c596e · outbound

This paper cites Lance, Hilbert C ∗-modules.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Lance, Hilbert C ∗-modules

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:22.326511Z

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Observation 8ac00c20-4320-4e3b-925c-ffec3ae140c9 · outbound

This paper cites M lotkowski, Λ-free probability, Infin.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications M lotkowski, Λ-free probability, Infin

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:21.680900Z

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Observation c9c1d62a-e39e-4e96-90f7-702e4acc57c2 · outbound

This paper cites McClanahan, Simplicity of reduced amalgamated products of C ∗-algebras, Canad.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications McClanahan, Simplicity of reduced amalgamated products of C ∗-algebras, Canad

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:21.866749Z

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Observation dfeed235-4d34-4a7a-82e5-f5f520735eb5 · outbound

This paper cites an unresolved cited work.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:20.057526Z

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Unavailable: canonical work link unavailable.

Observation 0d1222a1-3642-42e1-80cc-4bf3fa341b4e · outbound

This paper cites Ozawa, Solid von Neumann algebras , Acta Math.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Ozawa, Solid von Neumann algebras , Acta Math

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:21.539915Z

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Observation b8b289a4-f8db-496a-be3a-6d373ddc4dd7 · outbound

This paper cites Rørdam, Irreducible inclusions of simple C ∗-algebras, Enseign.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Rørdam, Irreducible inclusions of simple C ∗-algebras, Enseign

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:21.286646Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0181d100-b814-433a-ae31-17d23939ae64 · outbound

This paper cites Roe, Lectures on coarse geometry, Univ.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Roe, Lectures on coarse geometry, Univ

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:21.410878Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9b728500-2d2c-4bb7-b55e-da17494de01b · outbound

This paper cites Voiculescu, Symmetries of some reduced free product C ∗-algebras, Operator algebras and their connections with topology and ergodic theory (Bu¸ steni, 1983), 556–588.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Voiculescu, Symmetries of some reduced free product C ∗-algebras, Operator algebras and their connections with topology and ergodic theory (Bu¸ steni, 1983), 556–588

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:21.059574Z

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Observation 134b1428-e3f4-4dad-803f-46ddf303af81 · outbound

This paper cites Speicher, J.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications Speicher, J

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:21.166387Z

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Observation cad722d0-60ba-4816-82e2-9011d80180fd · outbound

This paper cites xvi+509 pp.

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications xvi+509 pp

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:17.102609Z

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Pith citing papers

Observation 7a8edec8-5160-472f-a1fe-5661bbc34521 · inbound

Quantum Metric Structures on Iwahori-Hecke Algebras cites this paper.

Quantum Metric Structures on Iwahori-Hecke Algebras Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-05T22:02:50.850288Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.