The 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.
A bridge theorem for the entropy of semigroup actions
Giordano Bruno, Anna
Primo
2020-01-01
Abstract
The 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.File in questo prodotto:
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[22993231 - Topological Algebra and its Applications] A bridge theorem for the entropy of semigroup actions.pdf
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