Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913796640997376 |
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| author | Chifan, I. Ioana, A. Osin, D. Sun, B. |
| author_facet | Chifan, I. Ioana, A. Osin, D. Sun, B. |
| contents | Given a countable group $G$, let ${\rm L}(G)$ denote its von Neumann algebra. For a wide class of ICC groups with Kazhdan's property (T), we confirm a conjecture of V.F.R. Jones asserting that $Out(\text{L}(G))\cong Char (G)\rtimes Out(G)$. As an application, we show that, for every countable group $Q$, there exists an ICC group $G$ with property (T) such that $Out(\text{L}(G))\cong Q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_07457 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms Chifan, I. Ioana, A. Osin, D. Sun, B. Operator Algebras Group Theory Given a countable group $G$, let ${\rm L}(G)$ denote its von Neumann algebra. For a wide class of ICC groups with Kazhdan's property (T), we confirm a conjecture of V.F.R. Jones asserting that $Out(\text{L}(G))\cong Char (G)\rtimes Out(G)$. As an application, we show that, for every countable group $Q$, there exists an ICC group $G$ with property (T) such that $Out(\text{L}(G))\cong Q$. |
| title | Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms |
| topic | Operator Algebras Group Theory |
| url | https://arxiv.org/abs/2304.07457 |