类群 C* 结构的韦尔群

arXiv - MATH - Operator Algebras Pub Date : 2024-09-07 DOI:arxiv-2409.04906

Fuyuta Komura

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引用次数: 0

摘要

在 C* 矩阵理论中，Cuntz 和 Conti 等人分别为 Cuntz 矩阵和图矩阵定义了 Weyl 群。在本文中，我们介绍并研究了类群C*-数的Weyl群，它是对现有Weyl群的自然概括。然后，我们分析了类群 C* 结构上的几个自变群。最后，我们将我们的结果应用于与迪肯努-雷诺系统相关联的昆兹元组、图元组和 C* 元组。

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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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arXiv - MATH - Operator Algebras

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