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arXiv · 2505.01839

Conditional entropy for Amenable group actions

Yuan Lian·Bin Zhu
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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.

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Yuan Lian, Bin Zhu. 2025-05-03. Conditional entropy for Amenable group actions. https://arxiv.org/abs/2505.01839

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