1 citations · 1 across the 7 of their papers we have counts for
7 papers
The noncommutative topological factor theorem for rank-one product lattices
Cyril Houdayer, Corentin Le Bars
We prove a noncommutative topological factor theorem for irreducible lattices in products of real rank-one simple Lie groups. The intermediate C*-subalgebras between the reduced gr…
The geometry of triples of antipodal ideal chambers of affine buildings
Corina Ciobotaru, Corentin Le Bars
In this article, we investigate two notions of genericity for triples of antipodal ideal chambers in a locally finite affine building : one defined at the ideal boundary $X^{\in…
Dynamical boundaries of affine buildings: C*-simplicity and Poisson boundaries
Corina Ciobotaru, Corentin Le Bars
We investigate a class of groups acting on possibly exotic affine buildings and possessing good proximal properties. Such groups are termed of general type, and their dynamics…
Ergodic cocycles in hyperbolic and Hadamard spaces
Corentin Le Bars
We consider discrete random dynamical systems induced by a non-elementary group action on a non-proper hyperbolic space. We prove that if the system is ergodic and satisfies the ``…
A Tits alternative for -buildings of type
Corentin Le Bars, Jean Lécureux, Jeroen Schillewaert
Let be a group with a non-elementary action on a (not necessarily discrete) -buildings. We prove that, given a random walk on , isometries in are strongly r…
Stationary measures and random walks on -buildings
Corentin Le Bars
We consider a non-elementary group action of a locally compact second countable group on a possibly exotic non-discrete affine building of type $\til…
Random walks and rank one isometries on CAT(0) spaces
Corentin Le Bars
Let be a discrete group, a measure on and a proper CAT(0) space. We show that if acts non-elementarily with a rank one element on , then the pushforward $\{Z…