C*-algebras associated with integral domains and crossed products by actions on adele spaces
C*-algebras associated with integral domains and crossed products by actions on adele spaces
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通过阿黛尔空间上的操作与积分域和交叉积相关联的 C* 代数
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
Xin Li
中科院分区：
文献类型：
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作者：
J. Cuntz;Xin Li
我们计算了与数域上的整数环自然相关的C*-代数的K-理论。
主要内容是关于任意整体场的对偶定理。它允许我们将有限Adeles上的仿射变换产生的交叉积与无限Adele空间上的类似交叉积代数联系起来。
We compute the K-theory for C*-algebras naturally associated with rings of integers in number fields.
The main ingredient is a duality theorem for arbitrary global fields. It allows us to identify the crossed product arising from affine transformations on the finite adeles with the analogous crossed product algebra over the infinite adele space.