| 不可分素C^k—代数与本原C^＊—代数的讨论 |
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| 引用本文： | 张伦传. 不可分素C^k—代数与本原C^＊—代数的讨论[J]. 数学进展, 1997, 26(2): 143-146 |
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| 作者姓名： | 张伦传 |
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| 作者单位： | 南京大学数学系 |
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| 摘 要： | 本文证明：若Ａ是不可分的素Ｃ＾＊－代数，且包含非０的Ｌｉｍｉｎａｌ遗传Ｃ＾＊－子代数，则Ａ是本原Ｃ＾＊－代数，本文还给出了Ｉ型Ｃ＾＊－代数为本原Ｃ＾＊－代数的充要条件。
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| 关 键 词： | 素C^＊－代数 本原C^＊－代数 C^＊－代数 |
The Studying of Relation About Inseparable Prime C * algebras and Primitive C * algebras |
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| Zhang Lunchuan. The Studying of Relation About Inseparable Prime C * algebras and Primitive C * algebras[J]. Advances in Mathematics(China), 1997, 26(2): 143-146 |
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| Authors: | Zhang Lunchuan |
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| Abstract: | In this paper we proved that if A is an inseparable prime C * algebra and A includes a nontrivial Liminal hereditary C * subalgebra, then A is a primitive C * algrbra. We gave a characterization of type I C * algebra becoming primitive C * algebra. |
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| Keywords: | prime C * algebra primitive C * algebra hereditary C * subalgebra inveloping VN algebra open projection and closed projection |
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