3 papers
math.GR2019
On invertible elements in reduced -algebras of acylindrically hyperbolic groups
M. Gerasimova, D. Osin
Let be an acylindrically hyperbolic group. We prove that if has no non-trivial finite normal subgroups, then the set of invertible elements is dense in the reduced …
math.GR2019
On the isometrisability of group actions on p-spaces
Maria Gerasimova, Andreas Thom
In this note we consider a -isometrisability property of discrete groups. If this property is equivalent to unitarisability. We prove that any group containing a non-abeli…
math.FA2018
Asymptotics of Cheeger constants and unitarisability of groups
Maria Gerasimova, Dominik Gruber, Nicolas Monod +1
Given a group , we establish a connection between the unitarisability of its uniformly bounded representations and the asymptotic behaviour of the isoperimetric constants of Cay…