Functoriality of cuntz-pimsner correspondence maps

Steven Kaliszewski, John Quigg, David Robertson

Research output: Contribution to journalArticle

6 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 languageEnglish (US)
Pages (from-to)1-11
Number of pages11
JournalJournal of Mathematical Analysis and Applications
Volume405
Issue number1
DOIs
StatePublished - Sep 1 2013

Keywords

  • Action
  • C-correspondence
  • Coaction
  • Cuntz-Pimsner algebra
  • Hilbert module

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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