Algebraic entropy for amenable semigroup actions

DOI10.1016/j.jalgebra.2020.02.033zbMath1453.20074arXiv1908.01983OpenAlexW3015036076MaRDI QIDQ2178518

Dikran Dikranjan, Anna Giordano Bruno, Antongiulio Fornasiero

Publication date: 11 May 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01983

zbMATH Keywords

topological entropyalgebraic entropygroup endomorphismamenable semigroupsemigroup actionamenable monoid

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

The addition theorem for locally monotileable monoid actions, Algebraic entropy for amenable semigroup actions, Mean dimension of natural extension of algebraic systems, Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups, Ore localization of amenable monoid actions and applications toward entropy -- addition formulas and the bridge theorem, Unnamed Item, Topological and metric entropy for group and semigroup actions, On a notion of entropy in coarse geometry, Algebraic entropy of endomorphisms of \(M\)-sets, Inertial properties in groups, Metric versus topological receptive entropy of semigroup actions, Algebraic entropies of commuting endomorphisms of torsion abelian groups, A bridge theorem for the entropy of semigroup actions, Entropy on normed semigroups (towards a unifying approach to entropy), A fresh look at the notion of normality

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