| 迹稳定秩一的C~*-代数 |
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| 引用本文： | 范庆斋,方小春.迹稳定秩一的C~*-代数[J].数学学报,2005,48(5):929-934. |
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| 作者姓名： | 范庆斋 方小春 |
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| 作者单位： | 同济大学应用数学系,上海200092 |
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| 基金项目： | 国家自然科学基金资助项目（10271090） |
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| 摘 要： | 本文引入了一类迹稳定秩一的C*-代数,证明了迹稳定秩一的C*-代数与AF-代数的张量积是迹稳定秩一的,得到了一个可分的单的有单位元的迹稳定秩一的,并且具有SP性质的C*-代数是稳定秩一的.同时,还讨论了迹稳定秩一的C*-代数的K-群的某些性质.
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| 关 键 词： | C- *代数 K-群 迹稳定秩 |
| 文章编号： | 0583-1431（2005）05-0929-06 |
| 收稿时间： | 2004-02-11 |
| 修稿时间： | 2004-02-112004-08-26 |
C~*-Algebras of Tracially Stable Rank One |
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| Fan QingZhai;Fang XiaoChun.C~*-Algebras of Tracially Stable Rank One[J].Acta Mathematica Sinica,2005,48(5):929-934. |
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| Authors: | Fan QingZhai;Fang XiaoChun |
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| Institution: | Qing Zhai FAN Xiao Chun FANG Department of Applied Mathematics, Tongji University, Shanghai 200092, P. R. China |
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| Abstract: | In this paper, we will introduce a class of C*-algebras which have tracially stable rank one; we show that if A is a unital C*-algebra with tracially stable rank one and B is an AF-algebra, then A (?)B has tracially stable rank one; if A is a separable simple unital C* -algebra which has tracially stable rank one and SP property then it has stable rank one. We also get some properties about K-group of a separable unital C*-algebra with tracially stable rank one. |
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| Keywords: | C*-algebra K-group Tracially stable rank |
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