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Abstract
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We give necessary and
sufficient conditions for simplicity of Cuntz-Krieger algebras corresponding to infinite
0–1 matrices and of C*-algebras corresponding to countable directed graphs. We
show that simple algebras within these two classes are either purely infinite or
AF.
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Milestones
Received: 10 March 1999
Revised: 9 August 2000
Published: 1 May 2001
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