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| THE INVARIANT CONTINUOUS-TRACE C^(*)-ALGEBRAS BY THE ACTIONS OF COMPACT ABELIAN GROUPS |
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Citation： |
Fang Xiaochun.THE INVARIANT CONTINUOUS-TRACE C^(*)-ALGEBRAS BY THE ACTIONS OF COMPACT ABELIAN GROUPS[J].Chinese Annals of Mathematics B,1998,19(4):489~498 |
| Page view： 1121
Net amount： 897 |
Authors： |
Fang Xiaochun; |
Foundation： |
the National Natural Science Foundation of China
and the Academic Sinica Postdoctoral Foundation of China |
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| Abstract： |
The author studies the relation of continuous-trace property between $C^*$-algebra $A$ and the fixed point $C^*$-algebra $A^{\az}$ in certain $C^*$-dynamic system $\agz$ by introducing an $\az$-invariant continuous trace property. For separable $C^*$-dynamic system $\agz$ with $G$ compact and abelian,$A$ liminal, $\mz$ and pointwise unitary, the necessary and sufficient condition for $A$ to be continuous-trace, which
contains $\aaz$ continuous-trace, is obtained. |
Keywords： |
Continuous-Trace, Action of Group, $C^*$-Algebra |
Classification： |
46L, 58F |
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