On C*-algebras associated with C*-correspondences

Research output: Contribution to journalArticle

112 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

Fingerprint

C*-algebra
Correspondence
K-group
Exact Sequence
Uniqueness Theorem
Gauge
Invariant
Coefficient
Term
Theorem

Keywords

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

ASJC Scopus subject areas

  • Analysis

Cite this

On C*-algebras associated with C*-correspondences. / Katsura, Takeshi.

In: Journal of Functional Analysis, Vol. 217, No. 2, 15.12.2004, p. 366-401.

Research output: Contribution to journalArticle

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