SIMPLICITY CRITERIA FOR ETALE GROUPOID C*-ALGEBRAS

被引：3

作者：

Crytser, Danny ^{[1
]}

Nagy, Gabriel ^{[2
]}

机构：

[1] St Lawrence Univ, Dept Math, 23 Romoda Dr, Canton, NY 13617 USA

[2] Kansas State Univ, Dept Math, 1228 N 17th St, Manhattan, KS 66506 USA

来源：

JOURNAL OF OPERATOR THEORY | 2020年 / 83卷 / 01期

关键词：

Etale groupoids; groupoid C*-algebras; simple C*-algebras; essential inclusions; regular inclusions; crossed products;

D O I：

10.7900/jot.2018aug04.2214

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a framework suitable for obtaining simplicity criteria for reduced C*-algebras of Hausdorff etale groupoids. This is based on the study of certain non-degenerate C*-subalgebras (in the case of groupoids, the C*-algebra of the interior isotropy bundle), for which one can control (non-unique) state extensions to the ambient C*-algebra. As an application, we give simplicity criteria for reduced crossed products C-0(Q)(sic)(red) G by discrete groups.

引用

页码：95 / 138

页数：44

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