On $C^*$-algebras associated with $C^*$-correspondences

Takeshi Katsura

On $C^$-algebras associated with $C^$-correspondences

Operator Algebras 2007-05-23 v3

Authors: Takeshi Katsura

Abstract

We study $C^*$ -algebras arising from $C^*$ -correspondences, which was introduced by the author. We prove the gauge-invariant uniqueness theorem, and obtain conditions for our $C^*$ -algebras to be nuclear, exact, or satisfy the Universal Coefficient Theorem. We also obtain a 6-term exact sequence of $K$ -groups involving the $K$ -groups of our $C^*$ -algebras.

Keywords

graph algebras c*-algebras cuntz semigroup

Cite

@article{arxiv.math/0309088,
  title  = {On $C^*$-algebras associated with $C^*$-correspondences},
  author = {Takeshi Katsura},
  journal= {arXiv preprint arXiv:math/0309088},
  year   = {2007}
}

Comments

29pages, some small changes

Related papers

View all related →