W*-superrigidity for discrete quantum groups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913030409814016 |
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| author | Donvil, Milan Vaes, Stefaan |
| author_facet | Donvil, Milan Vaes, Stefaan |
| contents | A discrete group $G$ is called W*-superrigid if the group $G$ can be entirely recovered from the ambient group von Neumann algebra $L(G)$. We introduce an analogous notion for discrete quantum groups. We prove that this strengthened quantum W*-superrigidity property holds for a natural family of co-induced discrete quantum groups. We also prove that, remarkably, most existing families of W*-superrigid groups are not quantum W*-superrigid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03266 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | W*-superrigidity for discrete quantum groups Donvil, Milan Vaes, Stefaan Operator Algebras Group Theory Quantum Algebra A discrete group $G$ is called W*-superrigid if the group $G$ can be entirely recovered from the ambient group von Neumann algebra $L(G)$. We introduce an analogous notion for discrete quantum groups. We prove that this strengthened quantum W*-superrigidity property holds for a natural family of co-induced discrete quantum groups. We also prove that, remarkably, most existing families of W*-superrigid groups are not quantum W*-superrigid. |
| title | W*-superrigidity for discrete quantum groups |
| topic | Operator Algebras Group Theory Quantum Algebra |
| url | https://arxiv.org/abs/2504.03266 |