W*-superrigidity for groups with infinite center
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916946808668160 |
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| author | Donvil, Milan Vaes, Stefaan |
| author_facet | Donvil, Milan Vaes, Stefaan |
| contents | We construct discrete groups $G$ with infinite center that are nevertheless W*-superrigid, meaning that the group von Neumann algebra $L(G)$ fully remembers the group $G$. We obtain these rigidity results both up to isomorphisms and up to virtual isomorphisms of the groups and their von Neumann algebras. Our methods combine rigidity results for the quotient of these groups by their center with rigidity results for their 2-cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13417 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | W*-superrigidity for groups with infinite center Donvil, Milan Vaes, Stefaan Operator Algebras Group Theory We construct discrete groups $G$ with infinite center that are nevertheless W*-superrigid, meaning that the group von Neumann algebra $L(G)$ fully remembers the group $G$. We obtain these rigidity results both up to isomorphisms and up to virtual isomorphisms of the groups and their von Neumann algebras. Our methods combine rigidity results for the quotient of these groups by their center with rigidity results for their 2-cohomology. |
| title | W*-superrigidity for groups with infinite center |
| topic | Operator Algebras Group Theory |
| url | https://arxiv.org/abs/2410.13417 |