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Gunnar Restorff

Classification of Cuntz-Krieger algebras up to stable isomorphism

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 K-theory, while the proof of this invariant being complete depends on recent results on flow equivalence of shifts of finite type by Mike Boyle and Danrun Huang. □

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2006, 09/2006
Pages: 185 - 210

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