因子von Neumann代数中套子代数上的局部3-上循环

李红霞, 张建华

数学学报 ›› 2010, Vol. 53 ›› Issue (1) : 17-24.

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数学学报 ›› 2010, Vol. 53 ›› Issue (1) : 17-24. DOI: 10.12386/A2010sxxb0003
论文

因子von Neumann代数中套子代数上的局部3-上循环

    李红霞1, 张建华2
作者信息 +

Local 3-Cocycles of Nest Subalgebras of Factor von Neumann Algebras

    Hong Xia LI1, Jian Hua ZHANG2
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文章历史 +

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.

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.

关键词

套子代数 / von Neumann代数 / 局部3-上循环

Key words

nest subalgebra / von Neumann algebra / local 3-cocycle

引用本文

导出引用
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. 数学学报, 2010, 53(1): 17-24 https://doi.org/10.12386/A2010sxxb0003
Hong Xia LI, Jian Hua ZHANG. Local 3-Cocycles of Nest Subalgebras of Factor von Neumann Algebras. Acta Mathematica Sinica, Chinese Series, 2010, 53(1): 17-24 https://doi.org/10.12386/A2010sxxb0003

参考文献


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基金

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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