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

T. Kajiwara, C. Pinzari, Yasuo Watatani

研究成果: Contribution to journalArticle査読

10 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)3-18
ページ数16
ジャーナルJournal of Operator Theory
45
1
出版ステータス出版済み - 2001

All Science Journal Classification (ASJC) codes

  • 代数と数論

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