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Maximal Discrete Subgroups in Unitary Groups of Operator Algebras
Symmetry, integrability and geometry: methods and applications, Tome 18 (2022) Cet article a éte moissonné depuis la source Math-Net.Ru

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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: maximal discrete subgroups, unitary groups, operator algebras. 
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     author = {Vadim Alekseev and Andreas Thom},
     title = {Maximal {Discrete} {Subgroups} in {Unitary} {Groups} of {Operator} {Algebras}},
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Vadim Alekseev; Andreas Thom. Maximal Discrete Subgroups in Unitary Groups of Operator Algebras. Symmetry, integrability and geometry: methods and applications, Tome 18 (2022). http://geodesic.mathdoc.fr/item/SIGMA_2022_18_a51/

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