A construction of $C^*$-algebras from $C^*$-correspondences

Details A construction of $C^*$-algebras from $C^*$-correspondences A construction of $C^*$-algebras from $C^*$-correspondences

2003-09-03

arxiv.org/abs/math/0309059v1

Mathematics

Operator Algebras

10 pages, to appear in Contemp. Math., Proceedings of the AMS conference "Advances in Quantum Dynamics"

Scientific paper

We introduce a method to define $C^*$-algebras from $C^*$-correspondences.
Our construction generalizes Cuntz-Pimsner algebras, crossed products by
Hilbert $C^*$-modules, and graph algebras.

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