Functoriality of Cuntz-Pimsner correspondence maps

被引：10

作者：

Kaliszewski, S. ^{[1
]}

Quigg, John ^{[1
]}

Robertson, David ^{[2
]}

机构：

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

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 405卷 / 01期

关键词：

Hilbert module; C*-correspondence; Cuntz-Pimsner algebra; Action; Coaction; CROSSED-PRODUCTS; SKEW PRODUCTS; ALGEBRAS; COACTIONS;

D O I：

10.1016/j.jmaa.2013.02.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1 / 11

页数：11

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