Functoriality of Cuntz-Pimsner correspondence maps

Details Functoriality of Cuntz-Pimsner correspondence maps Functoriality of Cuntz-Pimsner correspondence maps

2012-04-26

arxiv.org/abs/1204.5820v1

Mathematics

Operator Algebras

16 pages

Scientific paper

We show that the passage from a $C^\ast$-correspondence to its Cuntz-Pimsner
$C^\ast$-algebra gives a functor on a category of $C^\ast$-correspondences with
appropriately defined morphisms. Applications involving topological graph
$C^\ast$-algebras are discussed, and an application to crossed-product
correspondences is presented in detail.

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