Non-commutative ergodic Theorems for actions of the hyperbolic groups

2012/01/09 by Genady Ya. Grabarnik, Grabarnik, Genady Ya., Alexander A. Katz +3
Mathematics · #Advanced Operator Algebra Research #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1201.1937

openalex publication_date 2012/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The goal of this notice is to establish Not-commutative Point- wise Ergodic Theorems for actions of the Hyperbolic Groups. Similar non-commutative results were done by Bufetov, Khristoforov and Kli- menko, and later by Pollicott and Sharp. We were interested to expand short notice in Policott and Sharp's paper about non-commutative er- godic theorems.

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