W$^*$-superrigidity for property (T) groups with infinite center
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915942477332480 |
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| author | Chifan, Ionuţ Quero, Adriana Fernández Osin, Denis Tan, Hui |
| author_facet | Chifan, Ionuţ Quero, Adriana Fernández Osin, Denis Tan, Hui |
| contents | We propose to study a natural version of Connes' Rigidity Conjecture that involves property (T) groups with infinite center. Utilizing techniques at the intersection of von Neumann algebras and geometric group theory, we establish several cases where this conjecture holds. In particular, we provide the first example of a W$^*$-superrigid property (T) group with infinite center. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12742 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | W$^*$-superrigidity for property (T) groups with infinite center Chifan, Ionuţ Quero, Adriana Fernández Osin, Denis Tan, Hui Operator Algebras Group Theory We propose to study a natural version of Connes' Rigidity Conjecture that involves property (T) groups with infinite center. Utilizing techniques at the intersection of von Neumann algebras and geometric group theory, we establish several cases where this conjecture holds. In particular, we provide the first example of a W$^*$-superrigid property (T) group with infinite center. |
| title | W$^*$-superrigidity for property (T) groups with infinite center |
| topic | Operator Algebras Group Theory |
| url | https://arxiv.org/abs/2503.12742 |