American Institute of Mathematical Sciences

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February  2006, 15(1): 177-192. doi: 10.3934/dcds.2006.15.177

C *-algebras associated to dynamical systems

Søren Eilers 1,

1. 

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

Received  December 2004 Revised  August 2005 Published  February 2006

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.
Keywords: Symbolic dynamics, classification, K-theory., flow equivalence, operator algebras.
Mathematics Subject Classification: 46L80, 37B1.
Citation: Søren Eilers. C *-algebras associated to dynamical systems. Discrete and Continuous Dynamical Systems, 2006, 15 (1) : 177-192. doi: 10.3934/dcds.2006.15.177
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