Functoriality of Cuntz-Pimsner correspondence maps

S. Kaliszewski; John Quigg; David Robertson

Functoriality of Cuntz-Pimsner correspondence maps

Operator Algebras 2012-10-29 v2

Authors: S. Kaliszewski , John Quigg , David Robertson

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.

Keywords

Cuntz-Pimsner algebra C*-correspondence functor topological graph crossed product

Cite

@article{arxiv.1204.5820,
  title  = {Functoriality of Cuntz-Pimsner correspondence maps},
  author = {S. Kaliszewski and John Quigg and David Robertson},
  journal= {arXiv preprint arXiv:1204.5820},
  year   = {2012}
}

Comments

16 pages

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