The Haagerup property for groups and for tracial von Neumann algebras in terms of invariant and mixing states
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911089665507328 |
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| author | Jolissaint, Paul |
| author_facet | Jolissaint, Paul |
| contents | The aim of the article is to provide characterizations of the Haage-rup property for locally compact, second countable groups in terms of approximations of some non-ergodic invariant states by mixing ones for actions on unital $C^*$-algebras one the one hand, and for pairs of tracial von Neumann algebras by mixing binormal states on the other hand. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09237 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Haagerup property for groups and for tracial von Neumann algebras in terms of invariant and mixing states Jolissaint, Paul Group Theory Operator Algebras Primary 22D55, 46L55, 46L10, secondary 22D40 The aim of the article is to provide characterizations of the Haage-rup property for locally compact, second countable groups in terms of approximations of some non-ergodic invariant states by mixing ones for actions on unital $C^*$-algebras one the one hand, and for pairs of tracial von Neumann algebras by mixing binormal states on the other hand. |
| title | The Haagerup property for groups and for tracial von Neumann algebras in terms of invariant and mixing states |
| topic | Group Theory Operator Algebras Primary 22D55, 46L55, 46L10, secondary 22D40 |
| url | https://arxiv.org/abs/2505.09237 |