Primitive Ideal Space of $C^*(R_+)\rtimes R^\times$

arXiv - MATH - Operator Algebras Pub Date : 2024-08-19 DOI:arxiv-2408.09863

Xiaohui Chen, Hui Li

引用次数: 0

Abstract

For an integral domain $R$ satisfying certain condition, we characterize the primitive ideal space and its Jacobson topology of the semigroup crossed product $C^*(R_+) \rtimes R^\times$. The main example is when $R=\mathbb{Z}[\sqrt{-3}]$.

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$C^*(R_+)\rtimes R^\times$ 的原始理想空间

对于满足特定条件的积分域 $R$，我们描述了半群交叉积 $C^*(R_+) \rtimes R^\times$ 的原始理想空间及其雅各布森拓扑。主要的例子是当$R=\mathbb{Z}[\sqrt{-3}]$时。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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arXiv - MATH - Operator Algebras

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