C*-algebras Associated do Stationary Ordered Bratteli Diagrams

2011/08/18 by Daniel Gonçalves, Gonçalves, Daniel, Danilo Royer +1
Mathematics · #47A99 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:47A99

paper · pdf · doi:10.48550/arxiv.1108.3759

20 pages

arxiv created 2011/08/23 · arxiv updated 2011/08/24

Abstract

In this paper, we introduce a C*-algebra associated to any substitution (via its Bratteli diagram model). We show that this C*-algebra contains the partial crossed product C*-algebra of the corresponding Bratteli-Vershik system and show that these algebras are invariant under equivalence of the Bratteli diagrams. We also show that the isomorphism class of the algebras, together with a distinguished set of generators, is a complete invariant for equivalence of Bratteli diagrams.

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