On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras
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On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras. / Barlak, Selcuk; Szabo, Gabor.
In: Mathematica Scandinavica, Vol. 125, No. 1-2, 2019, p. 210-226.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras
AU - Barlak, Selcuk
AU - Szabo, Gabor
PY - 2019
Y1 - 2019
N2 - 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
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
U2 - 10.7146/math.scand.a-114823
DO - 10.7146/math.scand.a-114823
M3 - Journal article
VL - 125
SP - 210
EP - 226
JO - Mathematica Scandinavica
JF - Mathematica Scandinavica
SN - 0025-5521
IS - 1-2
ER -
ID: 232977315