COMPLETELY BOUNDED MODULE MAPS AND THE HAAGERUP TENSOR PRODUCT

被引：113
|
作者：
SMITH, RR
机构：
[1] Department of Mathematics, Texas A and M University, College Station
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1991年 / 102卷 / 01期
关键词：
D O I：
10.1016/0022-1236(91)90139-V
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain a representation theorem for module maps defined on the algebra K(H) of compact operators. This is used to show that the Haagerup tensor product of two operator algebras enjoys strong versions of Tomita's commutant theorem and the slice map property. We also give a general theorem concerning the automatic complete boundedness of module maps. © 1991.
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页码：156 / 175
页数：20
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