Abstract:For a left action S λ X of a cancellative right amenable monoid S on a discrete Abelian group X, we construct its Ore localization G λ * X * , where G is the group of left fractions of S ; analogously, for a right action K ρ S on a compact space K, we construct its Ore colocalization K * ρ * G. Both constructions preserve entropy, i.e., for the algebraic entropy h alg and for the topological entropy h top one has h alg (λ) = h alg (λ * ) and h top (ρ) = h top (ρ * ), respectively.Exploiting these constructions… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.