On continuous actions commutingwith actions of positive entropy
Volume 70 / 1996
Colloquium Mathematicum 70 (1996), 265-269
DOI: 10.4064/cm-70-2-265-269
Abstract
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)
