On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras
Research output: Contribution to journal › Journal article › Research › peer-review
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 language | English |
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Journal | Mathematica Scandinavica |
Volume | 125 |
Issue number | 1-2 |
Pages (from-to) | 210-226 |
ISSN | 0025-5521 |
DOIs | |
Publication status | Published - 2019 |
Links
- https://arxiv.org/pdf/1708.08258.pdf
Accepted author manuscript
ID: 232977315