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math.GR2025
Remarks on approximability and stability for groups
Vadim Alekseev, Andreas Thom
In this paper, we provide several instances in which interesting approximation and stability properties are inherited by quotients with respect to finitely generated normal subgrou…
math.GR2025
On finite local approximations of isometric actions of residually finite groups
Vadim Alekseev, Andreas Thom
We show that any isometric action of a residually finite group admits approximate local finite models. As a consequence, if is residually finite, every isometric -action emb…
math.GR2024
Amenability and skew-amenability of actions of topological groups
Vadim Alekseev, Hiroshi Ando, Friedrich Martin Schneider +1
We define and study notions of amenability and skew-amenability of continuous actions of topological groups on compact topological spaces. Our main motivation is the question under…