Functoriality of Cuntz-Pimsner correspondence maps

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:405

Article

Kaliszewski, S.¹  Quigg, John¹  Robertson, David² 

[1] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 85287 USA

[2] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia

关键词: Hilbert module;    C*-correspondence;    Cuntz-Pimsner algebra;    Action;    Coaction;   

DOI  :  10.1016/j.jmaa.2013.02.069

来源: Elsevier

【 摘 要 】

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. (c) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free