Purely infinite simple C*-algebras that are principal groupoid C*-algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:439

Article

Brown, Jonathan H.¹  Clark, Lisa Orloff²  Sierakowski, Adam³  Sims, Aidan³ 

[1] Univ Dayton, Dept Math, 300 Coll Pk, Dayton, OH 45469 USA

[2] Univ Otago, Dept Math & Stat, POB 56, Dunedin 9054, New Zealand

[3] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia

关键词: Groupoid;    Kirchberg algebra;   

DOI  :  10.1016/j.jmaa.2016.02.055

来源: Elsevier

【 摘 要 】

From a suitable groupoid G, we show how to construct an amenable principal groupoid whose C*-algebra is a Kirchberg algebra which is KK-equivalent to C* (G). Using this construction, we show by example that many UCT Kirchberg algebras can be realised as the C*-algebras of amenable principal groupoids. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free