一类具有弱无孔性质的C＊-代数＊  

A Class of C＊-algebras with Weakly Unperforated Property

作　　者：范庆斋[1] 方小春[2] 

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

出　　处：《数学年刊（A辑）》2012年第1期113-122,共10页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11071159;No.11101268);上海海事大学科研基金(No.20110052)资助的项目

摘　　要：证明了一类G＊-代数的弱无孔性质可以遗传到通过此类G＊-代数迹逼近后得到的G＊-代数中．同时证明了具有弱无孔性质的G＊-代数经过具有迹Rokhlin性质的有限群作用后得到的交叉积C＊-代数也具有弱无孔性质。It is shown that weakly unperforated property in a class of C＊-algebras is pos- sessed by simple C＊-algebras which can be tracially approximated by C＊-algebras in that class of C＊-algebras. The authors prove that the crossed product of an infinite dimensional simple separable unital C＊-algebra with weakly unperforated property by an action of a finite group with the tracial Rokhlin property has the weakly unperforated property.

关 键 词：C~*-代数 迹Rokhlin性质 弱无孔性质 

分 类 号：O177.5[理学—数学]