58 citations · 599 across the 43 of their papers we have counts for
5 papers · 1 filter
Charmenability of arithmetic groups of product type
Uri Bader, Rémi Boutonnet, Cyril Houdayer +1
We discuss special properties of the spaces of characters and positive definite functions, as well as their associated dynamics, for arithmetic groups of product type. Axiomatizing…
Stationary characters on lattices of semisimple Lie groups
Rémi Boutonnet, Cyril Houdayer
We show that stationary characters on irreducible lattices of higher-rank connected semisimple Lie groups are conjugation invariant, that is, they are genuine characters. Th…
Locally compact groups acting on trees, the type I conjecture and non-amenable von Neumann algebras
Cyril Houdayer, Sven Raum
We address the problem to characterise closed type I subgroups of the automorphism group of a tree. Even in the well-studied case of Burger-Mozes' universal groups, non-type I crit…
Baumslag-Solitar groups, relative profinite completions and measure equivalence rigidity
Cyril Houdayer, Sven Raum
We introduce an algebraic invariant for aperiodic inclusions of probability measure preserving equivalence relations. We use this invariant to prove that every stable orbit equival…
Invariant percolation and measured theory of nonamenable groups
Cyril Houdayer
Using percolation techniques, Gaboriau and Lyons recently proved that every countable, discrete, nonamenable group contains measurably the free group on two gener…