| 简单迹极限的基本可比性 |
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| 引用本文： | 方小春,梁月亮,范庆斋. 简单迹极限的基本可比性[J]. 同济大学学报(自然科学版), 2006, 34(8): 1108-1110,1116 |
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| 作者姓名： | 方小春 梁月亮 范庆斋 |
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| 作者单位： | 同济大学,数学系,上海,200092 |
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| 摘 要： | 引进了简单迹极限的相关概念，简单介绍了与C^＊代数SP性质密切相关的F性质，并且得到了非基本的单的具有SP性质的C^＊代数具有F性质．在此基础上得出简单迹极限的基本可比性．其主要结果：设A为具有F性质的带单位元1的C^＊代数，且A的迹态空间T（A）为非空集，如果对每个自然数n，An具有基本可比性，则An的简单迹极限A也具有基本可比性。
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| 关 键 词： | C*代数 简单迹极限 基本可比性 |
| 文章编号： | 0253-374X（2006）08-1108-03 |
| 收稿时间： | 2005-01-25 |
| 修稿时间： | 2005-01-25 |
Fundamental Comparison of Simple Tracial Limit |
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| FANG Xiaochun,LIANG Yueliang,FAN Qingzhai. Fundamental Comparison of Simple Tracial Limit[J]. Journal of Tongji University(Natural Science), 2006, 34(8): 1108-1110,1116 |
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| Authors: | FANG Xiaochun LIANG Yueliang FAN Qingzhai |
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| Affiliation: | Department of Mathematics, Tongji University, Shanghai 200092 ,China |
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| Abstract: | An introduction to the definition of the simple tracial limit of C~*-algebra is first made in this paper.Then,the relationship between the property(SP) and the property F of C~*-algebra A is studied.A perfect conclusion is obtained on fundamental comparison of simple tracial limit: Let A be a unital C~*-algebra with the property F the tracial space of A nonempty,if A_n has the property of fundamental comparison for each natural number n,then,simple tracial limit of A_n has the property of fundamental comparison. |
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| Keywords: | C~*-algebra simple tracial limit fundamental comparison |
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