Ext classes and embeddings for C*-algebras of graphs with sinks

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We consider directed graphs E which have been obtained by adding a sink to a fixed graph G. We associate an element of Ext(C*(G)) to each such E, and show that the classes of two such graphs are equal in Ext(C*(G)) if and only if the associated C*-algebra of one can be embedded as a full corner in the C*-algebra of the other in a particular way. If every loop in G has an exit, then we are able to use this result to generalize some of the classification theorems of Raeburn, Tomforde, and Williams for C*-algebras of graphs with sinks.
24 pages, uses XY-pic, New version comments: small typos fixed, to appear in New York J. Math

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Operator Algebras, 46L55

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http://salesiana.dossiersoluciones.com/handle/123456789/61064

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103056
 http://arxiv.org/abs/math/0103056
 New York J. Math. 7 (2001), 233--256

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arXiv