Adding tails to C*-correspondences

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We describe a method of adding tails to C*-correspondences which generalizes the process used in the study of graph C*-algebras. We show how this technique can be used to extend results for augmented Cuntz-Pimsner algebras to C*-algebras associated to general C*-correspondences, and as an application we prove a gauge-invariant uniqueness theorem for these algebras. We also define a notion of relative graph C*-algebras and show that properties of these C*-algebras can provide insight and motivation for results about relative Cuntz-Pimsner algebras.
24 pages, uses XY-pic. A few typos corrected, final version for publication

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Operator Algebras, 46L08, 46L55

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http://salesiana.dossiersoluciones.com/handle/123456789/66047

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0212277
 http://arxiv.org/abs/math/0212277

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arXiv