Maximal Discrete Subgroups in Unitary Groups of Operator Algebras

  title={Maximal Discrete Subgroups in Unitary Groups of Operator Algebras},
  author={Vadim Alekseev and Andreas Berthold Thom},
  journal={Symmetry, Integrability and Geometry: Methods and Applications},
  • V. Alekseev, A. Thom
  • Published 14 June 2022
  • Mathematics
  • Symmetry, Integrability and Geometry: Methods and Applications
. 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. 


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