Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772357 | Journal of Functional Analysis | 2017 | 13 Pages |
Abstract
We study graph Câ-algebras equipped with generalised gauge actions, and characterise in terms of groupoids and groupoid cocycles when two graph Câ-algebras are isomorphic by a diagonal-preserving isomorphism that intertwines the generalised gauge actions. We apply this characterisation to show that two Cuntz-Krieger algebras are isomorphic by a diagonal-preserving isomorphism that intertwines the gauge actions if and only if the corresponding one-sided subshifts are eventually conjugate, and that the stabilisation of two Cuntz-Krieger algebras are isomorphic by a diagonal-preserving isomorphism that intertwines the gauge actions if and only if the corresponding two-sided subshifts are conjugate.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Toke Meier Carlsen, James Rout,