3 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.OA2026
Selfless W-probability spaces and Connes' bicentralizer problem
Cyril Houdayer, Amine Marrakchi
We introduce the notion of selfless W-probability space and study its connection with Connes' bicentralizer problem. In particular, we show that if is a separable type ${\r…
math.OA2025
Operator algebraic characterization of the noncommutative Poisson boundary
Cyril Houdayer
We obtain an operator algebraic characterization of the noncommutative Furstenberg-Poisson boundary associated…