Cartan semigroups and twisted groupoid C*-algebras

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-04-28 DOI:10.1016/j.jfa.2025.111038

Tristan Bice , Lisa Orloff Clark , Ying-Fen Lin , Kathryn McCormick

引用次数: 0

Abstract

We prove that twisted groupoid C*-algebras are characterised, up to isomorphism, by having Cartan semigroups, a natural generalisation of normaliser semigroups of Cartan subalgebras. This extends the classic Kumjian-Renault theory to general twisted étale groupoid C*-algebras, even non-reduced C*-algebras of non-effective groupoids.

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Cartan半群与扭曲群C*-代数

证明了扭曲群C*-代数具有Cartan半群的同构性，Cartan半群是Cartan子代数的正则化半群的自然推广。这将经典的Kumjian-Renault理论推广到一般的扭曲变截面群似C*-代数，甚至是非有效群似的非约简C*-代数。

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