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Unital extensions of A F -algebras by purely infinite simple algebras

Junping LiuChangguo Wei — 2014

Czechoslovak Mathematical Journal

In this paper, we consider the classification of unital extensions of A F -algebras by their six-term exact sequences in K -theory. Using the classification theory of C * -algebras and the universal coefficient theorem for unital extensions, we give a complete characterization of isomorphisms between unital extensions of A F -algebras by stable Cuntz algebras. Moreover, we also prove a classification theorem for certain unital extensions of A F -algebras by stable purely infinite simple C * -algebras with nontrivial...

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