Geodesic
Adding tails to $C^*$-correspondences
Documenta mathematica, Tome 9 (2004), pp. 79-106
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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.
DOI : 10.4171/dm/158
Classification : 46L08, 46L55
Mots-clés : C∗-correspondence, Cuntz-pimsner algebra, relative Cuntz-pimsner algebra, graph C∗-algebra, adding tails, gauge-invariant uniqueness 
@article{10_4171_dm_158,
     author = {Paul S. Muhly and Mark Tomforde},
     title = {Adding tails to $C^*$-correspondences},
     journal = {Documenta mathematica},
     pages = {79--106},
     year = {2004},
     volume = {9},
     doi = {10.4171/dm/158},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/158/}
}
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Paul S. Muhly; Mark Tomforde. Adding tails to $C^*$-correspondences. Documenta mathematica, Tome 9 (2004), pp. 79-106. doi: 10.4171/dm/158

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