Geodesic
Adding tails to $C^*$-correspondences
Documenta mathematica, Tome 9 (2004), pp. 79-106.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 46L08, 46L55
Keywords: $C^*$-correspondence, Cuntz-pimsner algebra, relative Cuntz-pimsner algebra, graph $C^*$-algebra, adding tails, gauge-invariant uniqueness 
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     author = {Muhly, Paul S. and Tomforde, Mark},
     title = {Adding tails to $C^*$-correspondences},
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     volume = {9},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a24/}
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Muhly, Paul S.; Tomforde, Mark. Adding tails to $C^*$-correspondences. Documenta mathematica, Tome 9 (2004), pp. 79-106. http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a24/