On C*-algebras associated with C*-correspondences

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118 Citations (Scopus)

Abstract

We study C*-algebras arising from C* -correspondences, which were introduced by the author. We prove the gauge-invariant uniqueness theorem, and obtain conditions for our C*-algebras to be nuclear, exact, or satisfy the Universal Coefficient Theorem. We also obtain a 6-term exact sequence of K-groups involving the K-groups of our C*-algebras.

Original languageEnglish
Pages (from-to)366-401
Number of pages36
JournalJournal of Functional Analysis
Volume217
Issue number2
DOIs
Publication statusPublished - 2004 Dec 15
Externally publishedYes

Keywords

  • C*-correspondences
  • Cuntz-Pimsner algebras
  • Exact
  • Gauge action
  • Hilbert modules
  • K-groups
  • Nuclear

ASJC Scopus subject areas

  • Analysis

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