华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (3): 1-7.

• 数学 统计学 •    下一篇

C*-代数迹极限K-群结构(英)

杨新兵1, 胡善文2   

  1. 1. 浙江师范大学 数学系, 浙江金华 321004;2. 华东师范大学 数学系, 上海 200062
  • 收稿日期:2004-06-04 修回日期:2004-12-17 出版日期:2006-05-25 发布日期:2006-05-25
  • 通讯作者: 杨新兵

K-groups Structure of Tracial Limits of C*-algebras(English)

YANG Xin-bing1,HU Shan-wen2   

  1. 1. Department of Mathematics, Zhejiang Normal University, Jinhua Zhejiang 321004, China; 2.Department of Mathematics, East China Normal University,Shanghai 200062, China
  • Received:2004-06-04 Revised:2004-12-17 Online:2006-05-25 Published:2006-05-25
  • Contact: YANG Xin-bing

摘要： 证明了迹极限A=(t4)lim (An,Pn)的情况下,对任意的n∈N,K0(An)统一的生成结构可以过渡到K0(A)上来;如果K1(An)的自然生成映射是满的, 则K1(A)的生成映射也是满的.

关键词: 迹极限, K-理论, C*-代数, 迹极限, K-理论, C*-代数

Abstract: Let A=(t4)lim (An,Pn) be the tracial limit of a sequence of unital C*-subalgebras An, this paper proved that (1) united manners of the structure of K0(An) can be transmitted to K0(A); (2) for ∨n ,n∈N and if the natural maps ikn:Uk(An)/Uk0(An) --> K1(An) are surjective, then ∨k∈N,ik:Uk(A)/Uk0(A) --> K1(A) are surjective too.

Key words: K-theory, C*-algebras, tracial limit, K-theory, C*-algebras

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