Titlebook: Operator Algebra and Dynamics; Nordforsk Network Cl Toke M. Carlsen,Søren Eilers,Sergei Silvestrov Conference proceedings 2013 Springer-Ver

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978-3-662-51241-8Springer-Verlag Berlin Heidelberg 2013

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Do Phantom Cuntz-Krieger Algebras Exist?,If phantom Cuntz-Krieger algebras do not exist, then purely infinite Cuntz-Krieger algebras can be characterized by outer properties. In this survey paper, a summary of the known results on non-existence of phantom Cuntz-Krieger algebras is given.

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Classification of Graph ,,-Algebras with No More than Four Primitive Ideals,We describe the status quo of the classification problem of graph . .-algebras with four primitive ideals or less.

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