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arXiv · 1204.5820

Functoriality of Cuntz-Pimsner correspondence maps

S. Kaliszewski·John Quigg·David Robertson
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Abstract

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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S. Kaliszewski, John Quigg, David Robertson. 2012-10-25. Functoriality of Cuntz-Pimsner correspondence maps. https://arxiv.org/abs/1204.5820

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