A faithful symbolic extension

Jacek Serafin

doi:10.3934/cpaa.2012.11.1051

Article Contents

2012, Volume 11, Issue 3: 1051-1062. Doi: 10.3934/cpaa.2012.11.1051

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A faithful symbolic extension

Jacek Serafin^1,

1.
Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw

Received: October 31, 2010

Revised: January 31, 2011

Published: April 2012

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Abstract

We construct a symbolic extension of an aperiodic zero-dimensional topological system in such a way that the bonding map is one-to-one on the set of invariant measures.

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Mathematics Subject Classification: Primary: 37B10, 37B40.

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