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Faces of simplices of invariant measures for actions of amenable groups

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 $G$.

preprint2016arXivOpen access
Bartosz FrejDawid Huczek
math.DS
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Open access2 authors1 topic
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Bartosz FrejDawid Huczek

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