TY - JOUR
AU - Selçuk Barlak
AU - Gábor Szabó
PY - 2019/10/19
Y2 - 2020/04/01
TI - On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras
JF - MATHEMATICA SCANDINAVICA
JA - MathScand
VL - 125
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-114823
UR - https://www.mscand.dk/article/view/114823
AB - 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.
ER -