类群C*-代数的Weyl群

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-08-14 DOI:10.1016/j.jfa.2025.111166

Fuyuta Komura

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引用次数: 0

摘要

在C*-代数理论中，Cuntz和Conti等人分别为Cuntz代数和图代数定义了Weyl群。本文引入并研究了类群C*-代数的Weyl群，作为已有Weyl群的自然推广。然后分析了群类群C*-代数上的几个自同构群。最后，我们将我们的结果应用于与Deaconu-Renault系统相关的Cuntz代数、图代数和C*-代数。

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Weyl groups of groupoid C*-algebras

In the theory of C*-algebras, the Weyl groups were defined for the Cuntz algebras and graph algebras by Cuntz and Conti et al. respectively. In this paper, we introduce and investigate the Weyl groups of groupoid C*-algebras as a natural generalization of the existing Weyl groups. Then we analyse several groups of automorphisms on groupoid C*-algebras. Finally, we apply our results to Cuntz algebras, graph algebras and C*-algebras associated with Deaconu–Renault systems.

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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