华东师范大学学报(自然科学版) ›› 2004, Vol. 2004 ›› Issue (4): 6-9.

• 物理 电子科学技术 • 上一篇    下一篇

Cuntz代数的扩张

刘树冬1, 刘俊平2   

  1. 1.曲阜师范大学 数学系,曲阜 273165; 2.华东师范大学 数学系,上海 200062
  • 收稿日期:2003-03-14 修回日期:2003-04-14 出版日期:2004-12-25 发布日期:2004-12-25
  • 通讯作者: 刘树冬

Extensions of Cuntz Algebras

LIU Shu-dong, LIU Jun-ping   

  1. Department of mathematics,East China Normal university, Shanghai 200062,China
  • Received:2003-03-14 Revised:2003-04-14 Online:2004-12-25 Published:2004-12-25
  • Contact: LIU Shu-dong

摘要: 用一种新方法构造出○n通过K的在弱等价意义的所有的扩张,并且计算了其代表元Ekn的K-群.

关键词: C*-代数, 扩张, 弱等价, K-理论, C*-代数, 扩张, 弱等价, K-理论

Abstract: It is well-known that Extw (○n) ≌Zn-1. In this paper, we construct all the extensions of ○n by K in a new way, and compute their K-groups.

Key words: extension, weakly equivalent, K-theory, C*-algebras, extension, weakly equivalent, K-theory

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