DERIVATIONS WHICH ARE INNER AS COMPLETELY BOUNDED MAPS

被引：11

作者：

Gogic, Ilja ^{[1
]}

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

OPERATORS AND MATRICES | 2010年 / 4卷 / 02期

关键词：

C*-algebra; ideals; quasicentral; central; derivation; completely bounded map; HAAGERUP TENSOR PRODUCT; MAPPINGS;

D O I：

10.7153/oam-04-09

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider derivations in the image of the canonical contraction theta(A) from the Haagerup tensor product of a C*-algebra A with itself to the space of completely bounded maps on A. We show that such derivations are necessarily inner if A is prime or if A is central. We also provide an example of a C*-algebra which has an outer derivation implemented by an elementary operator.

引用

页码：193 / 211

页数：19

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