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

Takeshi Katsura

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arXiv · math/0309088

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

Takeshi Katsura

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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.

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BibTeX RIS

Takeshi Katsura. 2003-09-18. On $C^*$-algebras associated with $C^*$-correspondences. https://arxiv.org/abs/math/0309088

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