Geodesic
On continuous actions commutingwith actions of positive entropy
Colloquium Mathematicum, Tome 70 (1996) no. 2, pp. 265-269.

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Let F and G be finitely generated groups of polynomial growth with the degrees of polynomial growth d(F) and d(G) respectively. Let $S={S^f}_{f ∈ F}$ 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)
DOI : 10.4064/cm-70-2-265-269

Mark Shereshevsky 1

1 
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Mark Shereshevsky. On continuous actions commutingwith actions of positive entropy. Colloquium Mathematicum, Tome 70 (1996) no. 2, pp. 265-269. doi : 10.4064/cm-70-2-265-269. http://geodesic.mathdoc.fr/articles/10.4064/cm-70-2-265-269/

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