| 因子Von Neumann代数中套子代数上的局部3-上循环 |
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| 引用本文： | 李红霞,张建华. 因子Von Neumann代数中套子代数上的局部3-上循环[J]. 数学学报, 2010, 53(1): 17-24 |
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| 作者姓名： | 李红霞 张建华 |
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| 作者单位： | 西南科技大学理学院;陕西师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10571114); 西南科技大学青年基金资助项目(09zx3124) |
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| 摘 要： | 证明了因子von Neumann代数中的套子代数到其单位对偶双模内的每个弱连续的局部3-上循环都是3-上循环.
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| 关 键 词： | 套子代数 von Neumann代数 局部3-上循环 |
| 收稿时间： | 2008-09-01 |
| 修稿时间： | 2009-02-06 |
Local 3-Cocycles of Nest Subalgebras of Factor von Neumann Algebras |
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| Hong Xia LI School of Sciences,Southwest University of Science , Technology,Mianyang ,P.R.China Jian Hua ZHANG College of Mathematics , Information Science,Shaanxi Normal University,Xi'an ,P.R.China. Local 3-Cocycles of Nest Subalgebras of Factor von Neumann Algebras[J]. Acta Mathematica Sinica, 2010, 53(1): 17-24 |
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| Authors: | Hong Xia LI School of Sciences Southwest University of Science Technology Mianyang P.R.China Jian Hua ZHANG College of Mathematics Information Science Shaanxi Normal University Xi'an P.R.China |
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| Affiliation: | 1. School of Sciences, Southwest University of Science and Technology, Mianyang 621010, P. R. China;
2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, P. R. China |
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| Abstract: | It is proved that every weakly continuous local 3-cocycle of a nest subalgebra of a factor von Neumann algebra with coeffcients on a unital dual bimodule is a 3- cocycle. |
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| Keywords: | nest subalgebra von Neumann algebra local 3-cocycle |
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