A Notion of Synchronization of Symbolic Dynamics and a Class of C*-Algebras

  • Authors:

  • Wolfgang Krieger;Kengo Matsumoto

  • Affiliations:

  • Institute for Applied Mathematics, University of Heidelberg, Heidelberg, Germany 69120;Department of Mathematics, Joetsu University of Education, Joetsu, Japan 943-8512

  • Venue:
  • Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
  • Year:
  • 2013

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Abstract

We discuss a synchronization property for subshifts, that we call λ-synchronization. Under an irreducibility assumption we associate to a λ-synchronizing subshift a simple C*-algebra.