Soficity, Amenability, and Dynamical Entropy
نویسندگان
چکیده
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.
منابع مشابه
Soficity, Dynamics, and Entropy
References [1] B. Blackadar and E. Kirchberg. Generalized inductive limits of finite-dimensional C *-algebras. A new application of random matrices: Ext(C * red (F2)) is not a group.
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