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

• Selçuk Barlak ^[1] ; Gábor Szabó ^[2]
  1. [1] Europa-Universität Flensburg (Alemania)
  2. [2] University of Copenhagen (Dinamarca)
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 125, Nº 2, 2019, págs. 210-226
• Idioma: inglés
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• Resumen

  • 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.