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

Authors

Jonathan H. Brown, University of Dayton
Lisa Orloff Clark, University of Otago
Adam Sierakowski, University of WollongongFollow
Aidan Sims, University of WollongongFollow

RIS ID

105836

Publication Details

Brown, J. H., Clark, L. Orloff., Sierakowski, A. & Sims, A. (2016). Purely infinite simple C*-algebras that are principal groupoid C*-algebras. Journal of Mathematical Analysis and Applications, 439 (1), 213-234.

Abstract

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.

Grant Number

ARC/DP120100389, ARC/DP150101598

Additional Grant Number

http://purl.org/au-research/grants/ARC/DP120100389

http://purl.org/au-research/grants/ARC/DP150101598