The primitive ideal space of groupoid C^*-algebras for groupoids with Abelian isotropy

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2021-08-04 DOI:10.1512/iumj.2022.71.9523

D. W. V. Wyk, Dana P. Williams

引用次数: 3

Abstract

We study the topology of the primitive ideal space of groupoid C∗algebras for groupoids with abelian isotropy. Our results include the known results for action groupoids with abelain stabilizers. Furthermore, we obtain complete results when the isotropy map is continuous except for jump discontinuities, and also when G is a unit space fixing extension of a proper groupoid by an abelain group bundle. We hope that our methods will be a springboard to further results of this type.

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具有Abelian各向同性的群拟C^*代数的原始理想空间

我们研究了具有阿贝尔各向同性的群胚的群胚C*代数的原始理想空间的拓扑。我们的结果包括具有阿贝兰稳定剂的作用类群的已知结果。此外，当各向同性映射除了跳跃不连续之外是连续的时，以及当G是由阿贝兰群丛固定的适当群胚的单位空间扩展时，我们得到了完整的结果。我们希望我们的方法将成为进一步取得这类成果的跳板。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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