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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.11477 |
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| _version_ | 1866912759876157440 |
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| author | Fima, Pierre Qiu, Yigang |
| author_facet | Fima, Pierre Qiu, Yigang |
| contents | We study the generalized free wreath product of classical groups introduced by the first author and Arthur Troupel. We give an explicit computation of the Haar state and deduce important properties of their associated operator algebra: in many cases, the von Neumann algebra is a full type ${\rm II}_1$-factor and the reduced C*-algebra is simple with unique trace. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_11477 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On free wreath products of classical groups Fima, Pierre Qiu, Yigang Operator Algebras Quantum Algebra 46L67 We study the generalized free wreath product of classical groups introduced by the first author and Arthur Troupel. We give an explicit computation of the Haar state and deduce important properties of their associated operator algebra: in many cases, the von Neumann algebra is a full type ${\rm II}_1$-factor and the reduced C*-algebra is simple with unique trace. |
| title | On free wreath products of classical groups |
| topic | Operator Algebras Quantum Algebra 46L67 |
| url | https://arxiv.org/abs/2512.11477 |