A notion of synchronization of symbolic dynamics and a class of C^*-algebras

2011/05/23 by Wolfgang Krieger, Krieger, Wolfgang, Kengo Matsumoto +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Operator Algebras (math.OA) #Primary 37B10 #Secondary 46L35 #math.DS #math.OA #msc:37B10 #msc:46L35

paper · pdf · doi:10.48550/arxiv.1105.4393

12 pages

arxiv created 2011/05/23 · arxiv updated 2011/05/24

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 and purely infinite C^*-algebra.

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