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

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Standard

On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras. / Barlak, Selcuk; Szabo, Gabor.

I: Mathematica Scandinavica, Bind 125, Nr. 1-2, 2019, s. 210-226.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Barlak, S & Szabo, G 2019, 'On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras', Mathematica Scandinavica, bind 125, nr. 1-2, s. 210-226. https://doi.org/10.7146/math.scand.a-114823

APA

Barlak, S., & Szabo, G. (2019). On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras. Mathematica Scandinavica, 125(1-2), 210-226. https://doi.org/10.7146/math.scand.a-114823

Vancouver

Barlak S, Szabo G. On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras. Mathematica Scandinavica. 2019;125(1-2):210-226. https://doi.org/10.7146/math.scand.a-114823

Author

Barlak, Selcuk ; Szabo, Gabor. / On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras. I: Mathematica Scandinavica. 2019 ; Bind 125, Nr. 1-2. s. 210-226.

Bibtex

@article{aa94de03cb454494916672277aa041fc,
title = "On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras",
abstract = "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",
author = "Selcuk Barlak and Gabor Szabo",
year = "2019",
doi = "10.7146/math.scand.a-114823",
language = "English",
volume = "125",
pages = "210--226",
journal = "Mathematica Scandinavica",
issn = "0025-5521",
publisher = "Aarhus Universitet * Mathematica Scandinavica",
number = "1-2",

}

RIS

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