Operator space tensor products of C*-algebras

被引：11

作者：

Jain, Ranjana ^{[1
]}

Kumar, Ajay ^{[2
]}

机构：

[1] Lady Shri Ram Coll Women, Dept Math, New Delhi 110024, India

[2] Univ Delhi, Dept Math, Delhi 110007, India

来源：

MATHEMATISCHE ZEITSCHRIFT | 2008年 / 260卷 / 04期

关键词：

operator space projective norm; Haagerup norm; C*-algebras; completely bounded operators;

D O I：

10.1007/s00209-008-0301-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For C*-algebras A and B, the identity map from A (circle times) over capB into A circle times B-lambda is shown to be injective. Next, we deduce that the center of the completion of the tensor product A circle times B of two C*-algebras A and B with centers Z(A) and Z(B) under operator space projective norm is equal to Z(A) (circle times) over cap. Z(B). A characterization of isometric automorphisms of A (circle times) over capB and A circle times B-h is also obtained.

引用

页码：805 / 811

页数：7

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