Charlesworth, Ian, de Santiago, Rolando, Hayes, Ben, Jekel, David, Elayavalli, Srivatsav and Nelson, Brent
2025.
Random permutation matrix models for graph products.
Documenta Mathematica
30
(5)
, pp. 1231-1269.
10.4171/dm/992
|
Preview |
PDF
- Published Version
Available under License Creative Commons Attribution. Download (513kB) | Preview |
Official URL: https://doi.org/10.4171/dm/992
Abstract
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.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Publisher: | European Mathematical Society |
| Date of First Compliant Deposit: | 28 October 2024 |
| Date of Acceptance: | 14 October 2024 |
| Last Modified: | 29 Jul 2025 14:00 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/173431 |
Actions (repository staff only)
 |
Edit Item |
Altmetric
Altmetric