Maximal Discrete Subgroups in Unitary Groups of Operator Algebras
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
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.
Details
| Original language | English |
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| Article number | 052 |
| Number of pages | 7 |
| Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
| Volume | 18 |
| Publication status | Published - 9 Jul 2022 |
| Peer-reviewed | Yes |
External IDs
| ORCID | /0000-0002-7245-2861/work/172081591 |
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Keywords
ASJC Scopus subject areas
Keywords
- maximal discrete subgroups, operator algebras, unitary groups