拟对角扩张Cuntz半群的某些性质  

Certain Properties of Cuntz Semigroup of the Quasidiagonal Extension

作　　者：范庆斋[1] 方小春[2] 梁月亮[3] FAN Qingzhai;FANG Xiaochun;LIANG Yueliang(Department of Mathematics,Shanghai Maritime University,Shanghai 201306,China;School of Mathematical Sciences,Tongji University,Shanghai 200092,China;Department of Mathematics,Zhongbei University,Taiyuan 030051,China)

机构地区：[1]上海海事大学数学系,上海201306 [2]同济大学数学科学学院,上海200092 [3]中北大学数学系,太原030051

出　　处：《数学年刊（A辑）》2018年第4期449-454,共6页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11501357;No.11571008)的资助

摘　　要：设O→J→A→B→O是一个拟对角扩张.作者证明如果J和B具有Cuntz半群的某些性质,则A也具有相同的半群性质.Let O→J→A→B→O quasidiagonal extension, The authors show that some Cuntz semigroup properties are closed under passing to quasidiagonal extension, i.e.,if J and B have some Cuntz semigroup properties then A has the same Cuntz semigroup properties.

关 键 词：C^*-代数 拟对角扩张 Cuntz半群 

分 类 号：O177[理学—数学]