完全互不相连的局部紧凑群在其边界上的作用的交叉积的简单性

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2024-11-05 DOI:10.1016/j.jfa.2024.110732

Ryoya Arimoto

引用次数: 0

摘要

我们证明，如果一个完全断开的局部紧凑群具有拓扑自由边界，那么该群在其弗斯滕伯格边界上的连续函数的还原交叉积是简单的。我们还证明了这一结果的部分反证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries

We prove that if a totally disconnected locally compact group admits a topologically free boundary, then the reduced crossed product of continuous functions on its Furstenberg boundary by the group is simple. We also prove a partial converse of this result.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis