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On noncommutative ergodic theorems for semigroup and free group actions (2307.00542v1)
Published 2 Jul 2023 in math.OA
Abstract: In this article, we consider actions of \mathcal{Z}+d, \mathcal{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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