| 一类具有弱无孔性质的c*-代数 |
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| 引用本文： | 范庆斋,方小春. 一类具有弱无孔性质的c*-代数[J]. 数学年刊A辑(中文版), 2012, 33(1): 113-120 |
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| 作者姓名： | 范庆斋 方小春 |
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| 作者单位： | 上海海事大学文理学院;同济大学数学系 |
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| 基金项目： | 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 |
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| 摘 要： | 证明了一类C~*-代数的弱无孔性质可以遗传到通过此类C~*-代数迹逼近后得到的C~*-代数中.同时证明了具有弱无孔性质的C~*-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。
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| 关 键 词： | C~*-代数 迹Rokhlin性质 弱无孔性质 |
A Class of C-algebras with Weakly Unperforated Property |
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| FAN Qingzhai;FANG Xiaochun. A Class of C-algebras with Weakly Unperforated Property[J]. Chinese Annals of Mathematics, 2012, 33(1): 113-120 |
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| Authors: | FAN Qingzhai FANG Xiaochun |
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| Affiliation: | 1 College of Arts and Sciences,Shanghai Maritime University,Shanghai 201306, China. 2 Department of Mathematics,Tongji University,Shanghai 200092,China. |
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| Abstract: | It is shown that weakly unperforated property in a class of C~*-algebras is possessed 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. |
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| Keywords: | C~*-algebra Tracial Rokhlin property Weakly unperforated property |
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