Non Kazhdan's groups and a new approximation property for tracial von Neumann algebras
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911089432723456 |
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| author | Jolissaint, Paul |
| author_facet | Jolissaint, Paul |
| contents | We define a new approximation property for tracial von Neumann algebras, called \textit{weakly mixing approximation property} which, for discrete groups and II$_1$ factors, is equivalent to the negation of Kazhdan's property (T). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06579 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non Kazhdan's groups and a new approximation property for tracial von Neumann algebras Jolissaint, Paul Operator Algebras Group Theory 46L10, 22D55 We define a new approximation property for tracial von Neumann algebras, called \textit{weakly mixing approximation property} which, for discrete groups and II$_1$ factors, is equivalent to the negation of Kazhdan's property (T). |
| title | Non Kazhdan's groups and a new approximation property for tracial von Neumann algebras |
| topic | Operator Algebras Group Theory 46L10, 22D55 |
| url | https://arxiv.org/abs/2410.06579 |