Faces of simplices of invariant measures for actions of amenable groups
classification
🧮 math.DS
keywords
invariantmeasuresactionamenabledynamicalfreesimplexsystem
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We prove that every face in the simplex of invariant measures on a zero-dimensional dynamical system with free action of an amenable group $G$ can be modeled as the entire simplex of invariant measures on some other zero-dimensional dynamical system with free action of $G$.
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