Conditional entropy for Amenable group actions
Dynamical Systems
2025-05-06 v1
Abstract
Let G be an infinite discrete countable amenable group acting continuously on a Lebesgue space X. In this article, using partition and factor-space, the conditional entropy of the action G is defined. We introduction some properties of conditional entropy for amenable group actions and the corresponding decomposition theorem is obtained.
Cite
@article{arxiv.2505.01839,
title = {Conditional entropy for Amenable group actions},
author = {Yuan Lian and Bin Zhu},
journal= {arXiv preprint arXiv:2505.01839},
year = {2025}
}