M. Gerasimova

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math.GR2023

Local Hilbert--Schmidt stability

Francesco Fournier-Facio, Maria Gerasimova, Pieter Spaas

We introduce a notion of local Hilbert--Schmidt stability, motivated by the recent definition by Bradford of local permutation stability, and give examples of (non-residually finit…

math.GR2019

On invertible elements in reduced $C^{*}$ -algebras of acylindrically hyperbolic groups

M. Gerasimova, D. Osin

Let $G$ be an acylindrically hyperbolic group. We prove that if $G$ has no non-trivial finite normal subgroups, then the set of invertible elements is dense in the reduced $C^{*}$ …

math.GR2019

On the isometrisability of group actions on p-spaces

Maria Gerasimova, Andreas Thom

In this note we consider a $p$ -isometrisability property of discrete groups. If $p = 2$ this property is equivalent to unitarisability. We prove that any group containing a non-abeli…

Local Hilbert--Schmidt stability

On invertible elements in reduced C∗-algebras of acylindrically hyperbolic groups

On the isometrisability of group actions on p-spaces

On invertible elements in reduced $C^{*}$ -algebras of acylindrically hyperbolic groups