Title of article
The connection between topological and algebraic entropy
Author/Authors
Dikranjan، نويسنده , , Dikran and Giordano Bruno، نويسنده , , Anna، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2012
Pages
10
From page
2980
To page
2989
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.
Keywords
Algebraic entropy , Pontryagin duality , Topological entropy , Compact abelian group , Pinsker factor , Pinsker subgroup
Journal title
Topology and its Applications
Serial Year
2012
Journal title
Topology and its Applications
Record number
1583460
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