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

T. Kajiwara, C. Pinzari, Yasuo 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 - 2001

    All Science Journal Classification (ASJC) codes

    • Algebra and Number Theory


    Dive into the research topics of 'Hilbert C*-bimodules and countably generated Cuntz-Krieger algebras'. Together they form a unique fingerprint.

    Cite this