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A bridge theorem for the entropy of semigroup actions

A bridge theorem for the entropy of semigroup actions AbstractThe topological entropy of a semigroup action on a totally disconnected locally compact abelian group coincides with the algebraic entropy of the dual action. This relation holds both for the entropy relative to a net and for the receptive entropy of finitely generated monoid actions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Topological Algebra and its Applications de Gruyter

A bridge theorem for the entropy of semigroup actions

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References (67)

Publisher
de Gruyter
Copyright
© 2020 Anna Giordano Bruno, published by De Gruyter
ISSN
2299-3231
eISSN
2299-3231
DOI
10.1515/taa-2020-0004
Publisher site
See Article on Publisher Site

Abstract

AbstractThe topological entropy of a semigroup action on a totally disconnected locally compact abelian group coincides with the algebraic entropy of the dual action. This relation holds both for the entropy relative to a net and for the receptive entropy of finitely generated monoid actions.

Journal

Topological Algebra and its Applicationsde Gruyter

Published: Jan 1, 2020

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