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
收藏
页码：489 / 498
页数：10
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