C *-algebras associated to dynamical systems

Søren Eilers

doi:10.3934/dcds.2006.15.177

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2006, Volume 15, Issue 1: 177-192. Doi: 10.3934/dcds.2006.15.177

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C *-algebras associated to dynamical systems

Søren Eilers^1,

1.
Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø

Received: November 30, 2004

Revised: July 31, 2005

Published: February 2006

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Abstract

We give an overview of important areas of contact between dynamical systems and operator algebras in the context of classification, describing two different invariant ways of associating a C *-algebra to certain dynamical systems and comparing them in the case of substitutional shift spaces.

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Mathematics Subject Classification: 46L80, 37B10.

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