一类具有弱无孔性质的C＊-代数＊

A Class of C＊-algebras with Weakly Unperforated Property

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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.

作者范庆斋方小春

机构地区上海海事大学文理学院同济大学数学系

出处《数学年刊（A辑）》 CSCD 北大核心 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

关键词 C~*-代数迹Rokhlin性质弱无孔性质 C＊-algebra, Tracial Rokhlin property, Weakly unperforated property

分类号 O177.5 [理学—基础数学]

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参考文献1

1Qingzhai FAN,Xiaochun FANG.Stable Rank One and Real Rank Zero for Crossed Products by Finite Group Actions with the Tracial Rokhlin Property[J].Chinese Annals of Mathematics,Series B,2009,30(2):179-186. 被引量：2

二级参考文献17

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共引文献1

1Qing Zhai FAN,Xiao Chun FANG.A Class of C^(*)-Algebras with Non-stable K_1-Group Property[J].Acta Mathematica Sinica,English Series,2012,28(5):983-988.

1彭丽娇,杨海波.有限群作用下的RO(G)分次上同调理论[J].南昌航空大学学报（自然科学版）,2015,29(3):49-51.
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3熊宗洪,甘文良.G.Glaeser定理的一个推广[J].西南大学学报（自然科学版）,2016,38(6):30-33.
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数学年刊（A辑）

2012年第1期

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一类具有弱无孔性质的C＊-代数＊

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