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On continuous actions commutingwith actions of positive entropy

Mark Shereshevsky — 1996

Colloquium Mathematicae

Let F and G be finitely generated groups of polynomial growth with the degrees of polynomial growth d(F) and d(G) respectively. Let $S = {S^{f}}_{f \in F}$ be a continuous action of F on a compact metric space X with a positive topological entropy h(S). Then (i) there are no expansive continuous actions of G on X commuting with S if d(G)

Ergodic Properties of Certain Surjective Cellular Automata.

Mark A. Shereshevsky — 1992

Monatshefte für Mathematik

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