Conditional entropy for Amenable group actions

Published 3 May 2025 in math.DS | (2505.01839v1)

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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