Co-amenability and Connes＇s embedding problem

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：l63cn

【摘要】

：

A longstanding open question of Connes asks whether any finite von Neumann algebra embeds into an ultraproduct of finite-dimensional matrix algebras.As of yet,a

【作者】

：

WU JinSong

【机构】

：

DepartmentofMathematicsandStatistics,SchoolofMathematicalSciences

【出处】

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中国科学：数学英文版

【发表日期】

：

2012年5期

【关键词】

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嵌入问题 NEUMANN代数矩阵代数有限维代数和属性超积 co-amenability embedding von Neumann algebras

【基金项目】

：

The author would like to thank Professor Junhao Shen and Professor Liming Ge for their patience and encouragement when he worked on this problem.

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A longstanding open question of Connes asks whether any finite von Neumann algebra embeds into an ultraproduct of finite-dimensional matrix algebras.As of yet,algebras verified to satisfy the Connes's embedding property belong to just a few special cl

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Co-amenability and Connes＇s embedding problem

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