We show that the topological entropy of a continuous endomorphism of a compact abelian group coincides with the algebraic entropy of the dual endomorphism of the (discrete) Pontryagin dual group. As an application a relation is given between the topological Pinsker factor and the algebraic Pinsker subgroup.

The connection between topological and algebraic entropy

DIKRANJAN, Dikran;GIORDANO BRUNO, Anna
2012

Abstract

We show that the topological entropy of a continuous endomorphism of a compact abelian group coincides with the algebraic entropy of the dual endomorphism of the (discrete) Pontryagin dual group. As an application a relation is given between the topological Pinsker factor and the algebraic Pinsker subgroup.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11390/879601
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