Imprimitivity theorems and self-similar actions on Fell bundles

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2024-10-09 DOI:10.1016/j.jfa.2024.110699

Anna Duwenig , Boyu Li

引用次数: 0

Abstract

We introduce the notion of self-similar actions of groupoids on other groupoids and Fell bundles. This leads to a new imprimitivity theorem arising from such dynamics, generalizing many earlier imprimitivity theorems involving group and groupoid actions.

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费尔束上的本构定理和自相似作用

我们引入了类群对其他类群和费尔束的自相似作用的概念。这引出了由这种动力学产生的一个新的蕴涵性定理，概括了早期许多涉及群和群实体作用的蕴涵性定理。

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

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