On noncommutative ergodic theorems for semigroup and free group actions
Operator Algebras
2023-07-04 v1
Abstract
In this article, we consider actions of \mathcal{Z}_+^d, \mathcal{R}_+^d and finitely generated free groups on a von Neumann algebras 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.
Cite
@article{arxiv.2307.00542,
title = {On noncommutative ergodic theorems for semigroup and free group actions},
author = {Panchugopal Bikram and Diptesh Saha},
journal= {arXiv preprint arXiv:2307.00542},
year = {2023}
}
Comments
25 pages