On crossed products and Takai duality
On crossed products and Takai duality
复制标题
论交叉积和高井对偶性
DOI：
10.1017/s0013091500003436
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发表时间：
1988
影响因子：
0.7
通讯作者：
I. Raeburn
中科院分区：
文献类型：
--
作者：
I. Raeburn
Takai对偶定理已被证明是C*-代数交叉积理论中的一个基本工具。它的灵感来自于Von Neumann代数的交叉积的Takesaki对偶定理[7]，因此，原始证明严重依赖于空间技巧也就不足为奇了。在这里，我们将利用交叉积的普遍性质来证明Takai定理。
The Takai duality theorem has proved to be a fundamental tool in the theory of crossed products of C*-algebras. It was inspired by Takesaki's duality theorem for crossed products of von Neumann algebras [7], so it is not surprising that the original proof [6] depended heavily on spatial techniques. Here we shall prove Takai's theorem by exploiting the universal properties of crossed products.