Adding tails to C*-correspondences
算子代数
2007-05-23 v5
摘要
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.
引用
@article{arxiv.math/0212277,
title = {Adding tails to C*-correspondences},
author = {Paul S. Muhly and Mark Tomforde},
journal= {arXiv preprint arXiv:math/0212277},
year = {2007}
}
备注
24 pages, uses XY-pic. A few typos corrected, final version for publication