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arXiv · 2512.24751

Non-Commutative Maximal Inequalities for State-Preserving Actions of amenable groups

Panchugopal Bikram·Hariharan G·Sudipta Kundu·Diptesh Saha
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Abstract

In this article, we establish maximal inequalities and deduce ergodic theorems for state-preserving actions of amenable, locally compact, second-countable groups on tracial non-commutative $L^1$-spaces. As a further consequence, in combination with the Neveu decomposition, we obtain a stochastic ergodic theorem for amenable group actions.

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BibTeXRIS

Panchugopal Bikram, Hariharan G, Sudipta Kundu, Diptesh Saha. 2025-12-31. Non-Commutative Maximal Inequalities for State-Preserving Actions of amenable groups. https://arxiv.org/abs/2512.24751

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