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

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

2003-09-05

arxiv.org/abs/math/0309088v3

Mathematics

Operator Algebras

29pages, some small changes

Scientific paper

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.

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