Wreath-like products of groups and their von Neumann algebras III: Embeddings
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908641899053056 |
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| author | Chifan, Ionut Ioana, Adrian Osin, Denis Sun, Bin |
| author_facet | Chifan, Ionut Ioana, Adrian Osin, Denis Sun, Bin |
| contents | For a class of wreath-like product groups with property (T), we describe explicitly all the embeddings between their von Neumann algebras. This allows us to provide a continuum of ICC groups with property (T) whose von Neumann algebras are pairwise non (stably) embeddable. We also give a construction of groups in this class only having inner injective homomorphisms. As an application, we obtain examples of group von Neumann algebras which admit only inner endomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19461 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wreath-like products of groups and their von Neumann algebras III: Embeddings Chifan, Ionut Ioana, Adrian Osin, Denis Sun, Bin Operator Algebras Group Theory For a class of wreath-like product groups with property (T), we describe explicitly all the embeddings between their von Neumann algebras. This allows us to provide a continuum of ICC groups with property (T) whose von Neumann algebras are pairwise non (stably) embeddable. We also give a construction of groups in this class only having inner injective homomorphisms. As an application, we obtain examples of group von Neumann algebras which admit only inner endomorphisms. |
| title | Wreath-like products of groups and their von Neumann algebras III: Embeddings |
| topic | Operator Algebras Group Theory |
| url | https://arxiv.org/abs/2402.19461 |