Geodesic
Random permutation matrix models for graph products
Ian Charlesworth1 orcid ; Rolando de Santiago2 orcid ; Ben Hayes3 orcid ; David Jekel4 orcid ; Srivatsav Kunnawalkam Elayavalli5 orcid ; Brent Nelson6 orcid
1Prifysgol Caerdydd, Cardiff, UK
2California State University, Long Beach, USA
3University of Virginia, Charlottesville, USA
4University of Copenhagen, Denmark
5University of California, San Diego, La Jolla, USA
6Michigan State University, East Lansing, USA
Documenta mathematica, Tome 30 (2025) no. 5, pp. 1231-1269

Voir la notice de l'article provenant de la source EMS Press

Graph independence (also known as ε-independence or Λ-independence) is a mixture of classical independence and free independence corresponding to graph products of groups or operator algebras. Using conjugation by certain random permutation matrices, we construct random matrix models for graph independence with amalgamation over the diagonal matrices. This yields a new probabilistic proof that graph products of sofic groups are sofic.
DOI : 10.4171/dm/992
Classification : 60B20, 46L54, 20E06, 20P05
Mots-clés : graph products, graph independence, random permutation matrix, traffic moments

Ian Charlesworth  1   ; Rolando de Santiago  2   ; Ben Hayes  3   ; David Jekel  4   ; Srivatsav Kunnawalkam Elayavalli  5   ; Brent Nelson  6

1 Prifysgol Caerdydd, Cardiff, UK
2 California State University, Long Beach, USA
3 University of Virginia, Charlottesville, USA
4 University of Copenhagen, Denmark
5 University of California, San Diego, La Jolla, USA
6 Michigan State University, East Lansing, USA 
Ian Charlesworth; Rolando de Santiago; Ben Hayes; David Jekel; Srivatsav Kunnawalkam Elayavalli; Brent Nelson. Random permutation matrix models for graph products. Documenta mathematica, Tome 30 (2025) no. 5, pp. 1231-1269. doi: 10.4171/dm/992
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     title = {Random permutation matrix models for graph products},
     journal = {Documenta mathematica},
     pages = {1231--1269},
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