Abstract
In this paper we classify all Cuntz-Krieger algebras whose adjacency matrices satisfy condition (II) of Cuntz. The invariant arises naturally from the ideal lattice and the six-term exact sequences from Ktheory, while the proof of this invariant being complete depends on recent results on o w equivalence of shifts of nite type by Mike Boyle and Danrun Huang. Shortly after Franks had made a successful classication of irreducible shifts of nite type up to o w equivalence ([7]), Cuntz raised the question of whether this invariant or the K0-group alone classies simple Cuntz-Krieger algebras up to stable isomorphism. He sketched in [5] that it was enough to answer whether O2 and O2 are isomorphic, where O2 resp. O2 are the Cuntz-Krieger algebras associated to the matrices
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Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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