All classifiable Kirchberg algebras are C*-algebras of ample groupoids

被引：1
|
作者：
Clark, Lisa Orloff [1 ]
Fletcher, James [1 ]
Huef, Astrid An [1 ]
机构：
[1] Victoria Univ Wellington, Sch Math & Stat, POB 600, Wellington 6140, New Zealand
来源：
EXPOSITIONES MATHEMATICAE | 2020年 / 38卷 / 04期
关键词：
Simple purely infinite C*-algebra; Classification of C*-algebras; Kirchberg algebra; Groupoid; CLASSIFICATION; MODELS;
D O I：
10.1016/j.exmath.2019.06.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we show that every Kirchberg algebra in the UCT class is the C*-algebra of a Hausdorff, ample, amenable and locally contracting groupoid. The non-unital case follows from Spielberg's graph-based models for Kirchberg algebras. Our contribution is the unital case and our proof builds on Spielberg's construction. (C) 2019 Elsevier GmbH. All rights reserved.
引用
收藏
页码：559 / 565
页数：7
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