Hilbert C*-bimodules and countably generated Cuntz-Krieger algebras

T. Kajiwara, C. Pinzari, Y. Watatani

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


Results by Cuntz and Kreiger on uniqueness, simplicity and the ideal structure of the algebras OA associated with finite matrices with entries in {0, 1} are generalized to the case where A is an infinite matrix whose rows and columns are eventually zero, but not identically zero. Similar results have been recently obtained by Kumjian, Pask, Raeburn and Renault from the viewpoint of Renault's theory of groupoids. An alternative approach, based on the realization of OA as an algebra generated by a Hilbert C*-bimodule introduced by Pimsner, is proposed and compared.

Original languageEnglish
Pages (from-to)3-18
Number of pages16
JournalJournal of Operator Theory
Issue number1
Publication statusPublished - Jan 1 2001


  • Cuntz-Krieger algebra
  • Hilbert bimodule

ASJC Scopus subject areas

  • Algebra and Number Theory


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