Discrete and Continuous Dynamical Systems - Series A (DCDS-A)

C *-algebras associated to dynamical systems

Pages: 177 - 192, Volume 15, Issue 1, May 2006      doi:10.3934/dcds.2006.15.177

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Søren Eilers - Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark (email)

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.

Keywords:  Symbolic dynamics, classification, flow equivalence, operator algebras, K-theory.
Mathematics Subject Classification:  46L80, 37B10.

Received: December 2004;      Revised: August 2005;      Available Online: February 2006.