Functoriality of Cuntz-Pimsner correspondence maps

2012/04/26 by S. Kaliszewski, John Quigg, Kaliszewski, S. +3 · 1 citation
Mathematics · Physics and Astronomy · #46L08 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1204.5820

openalex publication_date 2012/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Skew products and crossed products by coactions

Cited by

• Lifting isomorphisms in K-theory through gradings of C^*-algebras

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• C^*-correspondence functoriality of Cuntz-Pimsner algebras
• Passing C^*-correspondence Relations to the Cuntz-Pimsner algebras
• Exactness of the Cuntz-Pimsner Construction
• A construction of C^*-algebras from C^*-correspondences
• Adding tails to C*-correspondences