Functoriality of cuntz-pimsner correspondence maps

Steven Kaliszewski; John Quigg; David Robertson

doi:10.1016/j.jmaa.2013.02.069

Functoriality of cuntz-pimsner correspondence maps

Steven Kaliszewski, John Quigg, David Robertson

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1-11
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	405
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2013.02.069
State	Published - Sep 1 2013

Keywords

Action
C-correspondence
Coaction
Cuntz-Pimsner algebra
Hilbert module

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2013.02.069

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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.",

keywords = "Action, C-correspondence, Coaction, Cuntz-Pimsner algebra, Hilbert module",

author = "Steven Kaliszewski and John Quigg and David Robertson",

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doi = "10.1016/j.jmaa.2013.02.069",

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AU - Quigg, John

AU - Robertson, David

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AB - 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.

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KW - Coaction

KW - Cuntz-Pimsner algebra

KW - Hilbert module

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ER -

Functoriality of cuntz-pimsner correspondence maps

Abstract

Keywords

ASJC Scopus subject areas

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