On noncommutative ergodic theorems for semigroup and free group actions

2023/07/02 by Bikram, Panchugopal, Saha, Diptesh
#37A55 #46L51 (secondary) #46L55 (primary) #FOS: Mathematics #Operator Algebras (math.OA) #Primary: 46L53

paper · doi:10.48550/arxiv.2307.00542

Abstract

In this article, we consider actions of Z₊^d, R₊^d and finitely generated free groups on a von Neumann algebras M and prove a version of maximal ergodic inequality. Additionally, we establish non-commutative analogues of pointwise ergodic theorems for associated actions in the predual when M is finite.

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