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The classification of two-component Cuntz-Krieger algebras


Author: Danrun Huang
Journal: Proc. Amer. Math. Soc. 124 (1996), 505-512
MSC (1991): Primary 46L35, 54H20; Secondary 46L55
DOI: https://doi.org/10.1090/S0002-9939-96-03079-1
MathSciNet review: 1301504
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Abstract: Cuntz-Krieger algebras with exactly one nontrivial closed ideal are classified up to stable isomorphism by the Cuntz invariant. The proof relies on Rรธrdamโ€™s classification of simple Cuntz-Krieger algebras up to stable isomorphism and the authorโ€™s classification of two-component reducible topological Markov chains up to flow equivalence.


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Additional Information

Danrun Huang
Affiliation: Department of Mathematics, University of Washington, Box 354350, Seattle, Washington 98195-4350
Email: dhuang@math.washington.edu

Keywords: Cuntz-Krieger algebra, stable isomorphism, topological Markov chain, flow equivalence
Received by editor(s): June 13, 1994
Received by editor(s) in revised form: August 30, 1994
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society