The invariant continuous-trace C*-algebras by the actions of compact Abelian groups

被引：0

作者：

Fang, XC ^{[1
]}

机构：

[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 1998年 / 19卷 / 04期

关键词：

continuous-trace; action of group; C*-algebra;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The author studies the relation of continuous-trace property between C*-algebra A and the fixed point C*-algebra A(alpha) in certain C*-dynamic system (A, G, alpha) by introducing an a-invariant continuous trace property. For separable C*-dynamic system (A, G, alpha) with G compact and abelian, A liminal, alpha(t) is an element of Aut(Cb)((A) over cap) and pointwise unitary, the necessary and sufficient condition for A to be continuous-trace, which contains A(alpha) continuous-trace, is obtained.

引用

页码：489 / 498

页数：10

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