A unified approach to Exel-Laca algebras and C*-algebras associated to graphs

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We define an ultragraph, which is a generalization of a directed graph, and describe how to associate a C*-algebra to it. We show that the class of ultragraph algebras contains the C*-algebras of graphs as well as the Exel-Laca algebras. We also show that many of the techniques used for graph algebras can be applied to ultragraph algebras and that the ultragraph provides a useful tool for analyzing Exel-Laca algebras. Our results include versions of the Cuntz-Krieger Uniqueness Theorem and the Gauge-Invariant Uniqueness Theorem for ultragraph algebras.
22 pages, uses XY-pic, New version comments: terminology change - "labeled graph" was replaced by "ultragraph", to appear in JOT

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Operator Algebras, 46L55

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http://salesiana.dossiersoluciones.com/handle/123456789/61690

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106161
 http://arxiv.org/abs/math/0106161

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arXiv