Maximal discrete subgroups in unitary groups of operator algebras
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917437762437120 |
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| author | Alekseev, Vadim Thom, Andreas |
| author_facet | Alekseev, Vadim Thom, Andreas |
| contents | We show that if a group G is mixed-identity-free, then the projective unitary group of its group von Neumann algebra contains a maximal discrete subgroup containing G. The proofs are elementary and make use of free probability theory. In addition, we clarify the situation for C*-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_06704 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Maximal discrete subgroups in unitary groups of operator algebras Alekseev, Vadim Thom, Andreas Operator Algebras 46L10, 22E40, 20F38 We show that if a group G is mixed-identity-free, then the projective unitary group of its group von Neumann algebra contains a maximal discrete subgroup containing G. The proofs are elementary and make use of free probability theory. In addition, we clarify the situation for C*-algebras. |
| title | Maximal discrete subgroups in unitary groups of operator algebras |
| topic | Operator Algebras 46L10, 22E40, 20F38 |
| url | https://arxiv.org/abs/2206.06704 |