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The classification of two-component Cuntz-Krieger algebras
Author(s):
Danrun
Huang
Journal:
Proc. Amer. Math. Soc.
124
(1996),
505-512.
MSC (1991):
Primary 46L35, 54H20;
Secondary 46L55
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 Rørdam's classification of simple Cuntz-Krieger algebras up to stable isomorphism and the author'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
DOI:
10.1090/S0002-9939-96-03079-1
PII:
S 0002-9939(96)03079-1
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
Copyright of article:
Copyright
1996,
American Mathematical Society
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