Operator algebraic characterization of the noncommutative Poisson boundary

We obtain an operator algebraic characterization of the noncommutative Furstenberg–Poisson boundary $\mathrm{L}(\Gamma ) \subset \mathrm{L}(\Gamma \curvearrowright B)$ associated with an admissible probability measure $\mu \in \mathrm{Prob}(\Gamma )$ for which the $(\Gamma , \mu )$-Furstenberg–Poiss...

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Bibliographic Details
Main Author: Houdayer, Cyril
Format: Article
Language:English
Published: Académie des sciences 2025-03-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.715/
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