On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras

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  • Selcuk Barlak
  • Gabor Szabo
We show that an outer action of a finite abelian group on a simple Cuntz-Krieger algebra is strongly approximately inner in the sense of Izumi if the action is given by diagonal quasi-free automorphisms and the associated matrix is aperiodic. This is achieved by an approximate cohomology vanishing-type argument for the canonical shift restricted to the relative commutant of the set of domain projections of the canonical generating isometries in the fixed point algebra
Original languageEnglish
JournalMathematica Scandinavica
Volume125
Issue number1-2
Pages (from-to)210-226
ISSN0025-5521
DOIs
Publication statusPublished - 2019

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