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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.24029 |
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| _version_ | 1866912458191405056 |
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| author | Morando, Basile |
| author_facet | Morando, Basile |
| contents | We show that the left regular representation of Neretin groups is factorial, providing the first example of a non-discrete simple group with this property. This is based on a new criterion of factoriality for totally disconnected groups. For groups G satisfying the criterion, we determine the type of the factor L(G) and derive factoriality results for crossed products associated to G-actions on von Neumann algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_24029 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The regular representation of Neretin groups is factorial Morando, Basile Operator Algebras Group Theory We show that the left regular representation of Neretin groups is factorial, providing the first example of a non-discrete simple group with this property. This is based on a new criterion of factoriality for totally disconnected groups. For groups G satisfying the criterion, we determine the type of the factor L(G) and derive factoriality results for crossed products associated to G-actions on von Neumann algebras. |
| title | The regular representation of Neretin groups is factorial |
| topic | Operator Algebras Group Theory |
| url | https://arxiv.org/abs/2506.24029 |