交叉积C^(*)-代数Cuntz半群的性质  

Some Cuntz Semigroup Properties of Certain Crossed Product C^(*)-Algebras

作　　者：杨君 方小春[1] 范庆斋[2] YANG Jun;FANG Xiaochun;FAN Qingzhai(Department of Mathematics,Tongji University,Shanghai 200092,China;Department of Mathematics,Shanghai Maritime University,Shanghai 201306,China)

机构地区：[1]同济大学数学系,上海200092 [2]上海海事大学数学系,上海201306

出　　处：《同济大学学报（自然科学版）》2021年第5期745-750,共6页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金(11501357,11871375)。

摘　　要：设A是一个无限维的有单位元并且具有k-局部几乎可除性质的(或者是UCFPn(W(A))=m)的C^(*)-代数。α:G→Aut(A)是有限群G作用在C^(*)-代数A上,并且作用具有迹Rokhlin性质。则交叉积C^(*)-代数C^(*)(G,A,α)具有k-局部几乎可除性质(或者是UCFPn(W(C^(*)(G,A,α)))=m)。Let A be a unital simple C^(*)-algebra such that A has the k-locally almost divisible property(or UCFPn(W(A))=m).Suppose thatα:G→Aut(A)is an action of a finite group G on A which has the tracial Rokhlin property.Then the crossed product C^(*)-algebra C^(*)(G,A,α)has the k-locally almost divisible property(or UCFPn(W(C^(*)(G,A,α)))=m).

关 键 词：C^(*)-代数 迹逼近C^(*)-代数 Cuntz半群 

分 类 号：O177[理学—数学]