| 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,2012,33(1):113~ |
| 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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| DOI： |
| 中文关键词: $C^*$-代数, 迹Rokhlin性质, 弱无孔性质 |
| 英文关键词:$C^*$-algebra, Tracial Rokhlin property, Weakly unperforated property |
| 基金项目: |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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