具有迹-NG性质的C^＊-代数的K0群性质  

K_0 Group Properties of C~*-algebras with Tracial-NG Properties

作　　者：杨新兵[1] 方小春[1] 刘秀梅[2] 

机构地区：[1]同济大学数学系,上海200092 [2]浙江师范大学行知学院,浙江金华321004

出　　处：《同济大学学报（自然科学版）》2008年第7期995-998,1001,共5页Journal of Tongji University:Natural Science

摘　　要：研究C*-代数K0群的弱无孔性质、Riesz内插值性质,把这2种性质统称为NG性质;并且引入具有迹-NG性质的C*-代数概念.如果单的有单位元的C*-代数具有迹NG性质,则群K0(A)具有NG性质.This paper presents an introduction of the concept of NG property of K0 groups of C^＊-algebras, which includes weakly unperforated property and Riesz interpolation property. The definition of tracial-NG property of C^＊-algebras is also presented. A conclusion is drawn that the K0 groups of simple C^＊-algebras which possess tracial-NG properties have NG properties.

关 键 词：C^＊-代数 迹-NG性质 K0群 

分 类 号：O177.5[理学—数学]