PropertyΠσand tensor products of operator algebras

被引：0
|
作者：
Jian-hua ZHANG~+ Hong-ke DU Hui-xin CAO College of Mathematics and Information Science
机构：
来源：
Science China Mathematics | 2007年 / 12期
基金：
中国国家自然科学基金;
关键词：
PropertyΠ_σ; tensor product; nest subalgebra; CSL subalgebra;
D O I：
暂无
中图分类号：
O153 [抽象代数（近世代数）];
学科分类号：
070104 ;
摘要：
In this paper,we introduce PropertyΠof operator algebras and prove that nest sub- algebras and the finite-width CSL subalgebras of arbitrary von Neumann algebras have PropertyΠ. Finally,we show that the tensor product formula algL（?）algL=alg(L（?）L) holds for any two finite-width CSLs Land Lin arbitrary von Neumann algebras M and N,respectively.
引用
收藏
页码：1680 / 1686
页数：7
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