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math.OA2026
Ulam stability for classes of nuclear C*-algebras
Vadim Alekseev, Ilijas Farah, Andreas Thom
We study Ulam stability for approximate *-homomorphisms of C*-algebras. We prove stability results for several classes of nuclear C*-algebras with respect to von Neumann algebra ta…
math.OA2024
Amenability for unitary groups of C*-algebras
Vadim Alekseev, Max Schmidt, Andreas Thom
In this note we state a conjecture that characterizes unital C*-algebras for which the unitary group is amenable as a topological group in the norm topology. We prove the conjectur…
math.OA2024
Representation theory of topological full groups of étale groupoids and paradoxicality
Vadim Alekseev, Martin Finn-Sell
We provide a unified treatment of several results concerning full groups of ample groupoids and paradoxical decompositions attached to them. This includes a criterion for the full…