Rank-two graphs whose C^*-algebras are direct limits of circle algebras

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We describe a class of rank-2 graphs whose C^*-algebras are AT algebras. For a subclass which we call rank-2 Bratteli diagrams, we compute the K-theory of the C*-algebra. We identify rank-2 Bratteli diagrams whose C*-algebras are simple and have real-rank zero, and characterise the K-invariants achieved by such algebras. We give examples of rank-2 Bratteli diagrams whose C*-algebras contain as full corners the irrational rotation algebras and the Bunce-Deddens algebras.
41 pages, uses pictex for figures

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Operator Algebras, 46L05

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http://salesiana.dossiersoluciones.com/handle/123456789/106176

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512254
 http://arxiv.org/abs/math/0512254

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arXiv