迹稳定秩一的C^＊-代数  

C^＊-Algebras of Tracially Stable Rank One

作　　者：范庆斋[1] 方小春[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《数学学报（中文版）》2005年第5期929-934,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10271090)

摘　　要：本文引入了一类迹稳定秩一的C*-代数,证明了迹稳定秩一的C*-代数与AF-代数的张量积是迹稳定秩一的,得到了一个可分的单的有单位元的迹稳定秩一的,并且具有SP性质的C*-代数是稳定秩一的.同时,还讨论了迹稳定秩一的C*-代数的K-群的某些性质.In this paper, we will introduce a class of C^＊-algebras which have tracially stable rank one; we show that if A is a unital C^＊-algebra with tracially stable rank one and B is an AF-algebra, then A × B has tracially stable rank one; if A is a separable simple unital C^＊-algebra which has tracially stable rank one and SP property then it has stable rank one. We also get some properties about K-group of a separable unital C^＊-algebra with tracially stable rank one.

关 键 词：C^＊-代数 K-群 迹稳定秩 

分 类 号：O177[理学—数学]