Random permutation matrix models for graph products
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arXiv
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| Hauptverfasser: | , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910619937013760 |
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| author | Charlesworth, Ian de Santiago, Rolando Hayes, Ben Jekel, David Nelson, Brent Elayavalli, Srivatsav Kunnawalkam |
| author_facet | Charlesworth, Ian de Santiago, Rolando Hayes, Ben Jekel, David Nelson, Brent Elayavalli, Srivatsav Kunnawalkam |
| contents | Graph independence (also known as $ε$-independence or $λ$-independence) is a mixture of classical independence and free independence corresponding to graph products or groups and 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 probabilist,ic proof that graph products of sofic groups are sofic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07350 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Random permutation matrix models for graph products Charlesworth, Ian de Santiago, Rolando Hayes, Ben Jekel, David Nelson, Brent Elayavalli, Srivatsav Kunnawalkam Operator Algebras Combinatorics Functional Analysis Group Theory Probability Graph independence (also known as $ε$-independence or $λ$-independence) is a mixture of classical independence and free independence corresponding to graph products or groups and 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 probabilist,ic proof that graph products of sofic groups are sofic. |
| title | Random permutation matrix models for graph products |
| topic | Operator Algebras Combinatorics Functional Analysis Group Theory Probability |
| url | https://arxiv.org/abs/2404.07350 |