Isotropy fibers of ideals in groupoid C *-algebras

被引：3

作者：

Christensen, Johannes ^{[1
]}

Neshveyev, Sergey ^{[2
]}

机构：

[1] Katholieke Univ Leuven, Dept Math, Leuven, Belgium

[2] Univ Oslo, Dept Math, Oslo, Norway

来源：

ADVANCES IN MATHEMATICS | 2024年 / 447卷

关键词：

GroupoidC & lowast; -algebras; Ideals; Isotropy groups; Ideal intersection property; PRIMITIVE-IDEALS; STAR-ALGEBRAS; SIMPLICITY; STATES;

D O I：

10.1016/j.aim.2024.109696

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a locally compact & eacute;tale groupoid and an ideal I in its groupoid C & lowast; -algebra, we show that I defines a family of ideals in group C & lowast; -algebras of the isotropy groups and then study to which extent I is determined by this family. As an application we obtain the following results: (a) prove that every proper ideal is contained in an induced primitive ideal; (b) describe the maximal ideals; (c) classify the primitive ideals for a class of graded groupoids with essentially central isotropy. (c) 2024 Published by Elsevier Inc.

引用

页数：32

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