Entropy and Mixing for Amenable Group Actions
Entropy and Mixing for Amenable Group Actions
For Γ a countable amenable group consider those actions of Γ as measurepreserving transformations of a standard probability space, written as {T γ } γ∈Γ acting on (X, F, µ).We say {T γ } γ∈Γ has completely positive entropy (or simply cpe for short) if for any finite and nontrivial …