Soficity, amenability, and dynamical entropy

Details Soficity, amenability, and dynamical entropy Soficity, amenability, and dynamical entropy

2010-08-08

arxiv.org/abs/1008.1429v2

Mathematics

Dynamical Systems

Minor change. To appear in Amer. J. Math

Scientific paper

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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