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arXiv · 1008.1429

Soficity, amenability, and dynamical entropy

David Kerr·Hanfeng Li
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Abstract

In a previous paper the authors developed an operator-algebraic approach to Lewis Bowen's sofic measure entropy that yields invariants for actions of countable sofic groups by homeomorphisms on a compact metrizable space and by measure-preserving transformations on a standard probability space. We show here that these measure and topological entropy invariants both coincide with their classical counterparts when the acting group is amenable.

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David Kerr, Hanfeng Li. 2010-08-08. Soficity, amenability, and dynamical entropy. https://arxiv.org/abs/1008.1429

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