Hilbert C∗-bimodules and continuous Cuntz-Krieger algebras

Tsuyoshi Kajiwara, Yasuo Watatani

研究成果: Contribution to journalArticle査読

4 被引用数 (Scopus)

抄録

We consider certain correspondences on disjoint unions Ω of circles which naturally give Hilbert C∗-bimodules X over circle algebras A. The bimodules X generate C -algebras OX which are isomorphic to a continuous version of Cuntz-Krieger algebras introduced by Deaconu using groupoid method. We study the simplicity and the ideal structure of the algebras under some conditions using (I)-freeness and (II)-freeness previously discussed by the authors. More precisely, we have a bijective correspondence between the set of closed two sided ideals of OX and saturated hereditary open subsets of Ω. We also note that a formula of K-groups given by Deaconu is given without any minimality condition by just applying Pimsner's result.

本文言語英語
ページ(範囲)35-59
ページ数25
ジャーナルJournal of the Mathematical Society of Japan
54
1
DOI
出版ステータス出版済み - 1 1 2002

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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