Maximal Discrete Subgroups in Unitary Groups of Operator Algebras
We show that if a group is mixed-identity-free, then the projective unitary group of its group von Neumann algebra contains a maximal discrete subgroup containing . The proofs are elementary and utilize free probability theory. In addition, we clarify the situation for *-algebras.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211735 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Maximal Discrete Subgroups in Unitary Groups of Operator Algebras. Vadim Alekseev and Andreas Thom. SIGMA 18 (2022), 052, 7 pages |