4 papers · 1 filter
Cubic maps from the group of order
Vadim Alekseev, Andreas Thom
The purpose of this note is to classify unital cubic maps from the cyclic group of order into an arbitrary non-abelian group. We show that the universal group admitting a unita…
Geometric property (T) for box spaces and sofic approximations
Vadim Alekseev, Stefan Drigalla
We prove that every sofic approximation of a property (T) group is approximately isomorphic to one having geometric property (T), and more generally, a box space of graphs which ha…
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…
On invariant random positive definite functions
Vadim Alekseev, Rahel Brugger
We give the definition of an invariant random positive definite function on a discrete group, generalizing both the notion of an invariant random subgroup and a character. We use v…