Corentin Le Bars

collaborators

5 papers

math.OA2026

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…

math.GR2026

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 $X$ : one defined at the ideal boundary $X^{\in…

math.GR2026

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 $X$ and possessing good proximal properties. Such groups are termed of general type, and their dynamics…

math.GR2025

Stationary measures and random walks on $A ~_{2}$ -buildings

Corentin Le Bars

We consider a non-elementary group action $G ↷ X$ of a locally compact second countable group $G$ on a possibly exotic non-discrete affine building $X$ of type $\til…

math.DS2025

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 ``…

The noncommutative topological factor theorem for rank-one product lattices

The geometry of triples of antipodal ideal chambers of affine buildings

Dynamical boundaries of affine buildings: C*-simplicity and Poisson boundaries

Stationary measures and random walks on A~2​-buildings

Ergodic cocycles in hyperbolic and Hadamard spaces

Stationary measures and random walks on $A ~_{2}$ -buildings