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

页码：1680 / 1686

页数：7

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