A construction of $C^{\ast }$-algebras from $C^{\ast }$-correspondences

Abstract

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

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

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