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math.GR2022
Maximal amenable subgroups of arithmetic groups
Vadim Alekseev, Alessandro Carderi
By classifying -maximal amenable subgroups of algebraic groups over a global field of characteristic zero, we obtain a complete classification of maximal amenable subgroups up t…
math.OA2022
Maximal discrete subgroups in unitary groups of operator algebras
Vadim Alekseev, Andreas Thom
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 a…