| The Proof of Inseparable Prime AW^＊—Algebras Being Primitive C^＊—Algebras |
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| 引用本文： | LunChuanZHANG. The Proof of Inseparable Prime AW^＊—Algebras Being Primitive C^＊—Algebras[J]. 数学学报(英文版), 2003, 19(2): 413-416. DOI: 10.1007/s10114-002-0192-8 |
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| 作者姓名： | LunChuanZHANG |
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| 作者单位： | SchoolofInformationScience,RenminUniversity,Beijing100091,P.R.China |
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| 摘 要： | The relation between the inseparable prime C^*-algebras and primitive C^*-algebras is studied,and we prove that prime AW^*-algebras are all primitive C^*-algebras.
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| 关 键 词： | 素C＊代数 不可分素AW＊代数 遗传C＊次代数 可数性 本原理想 素理想 |
| 收稿时间： | 2000-11-25 |
The Proof of Inseparable Prime AW*-Algebras Being Primitive C*-Algebras |
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| Lun?Chuan?ZhangEmail author. The Proof of Inseparable Prime AW*-Algebras Being Primitive C*-Algebras[J]. Acta Mathematica Sinica(English Series), 2003, 19(2): 413-416. DOI: 10.1007/s10114-002-0192-8 |
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| Authors: | Lun?Chuan?Zhang author-information" > author-information__contact u-icon-before" > mailto:zhanglunchuan@sina.com" title=" zhanglunchuan@sina.com" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
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| Affiliation: | (1) School of Information Science, Renmin University, Beijing 100091, P. R. China |
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| Abstract: | The relation between the inseparable prime C*-algebras and primitive C*-algebras is studied, and we prove that prime AW*-algebras are all primitive C*-algebras. This project is supported by NSF of China |
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| Keywords: | Prime C*-algebras Primitive C*-algebras AW*-algebras Hereditary C*-subalgebras |
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