Maximal discrete subgroups in unitary groups of operator algebras
Operator Algebras
2026-04-28 v1
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.
Keywords
Cite
@article{arxiv.2206.06704,
title = {Maximal discrete subgroups in unitary groups of operator algebras},
author = {Vadim Alekseev and Andreas Thom},
journal= {arXiv preprint arXiv:2206.06704},
year = {2026}
}
Comments
9 pages