posted on 2024-11-16, 09:00authored byJonathan H Brown, Lisa Orloff Clark, Adam Sierakowski, Aidan SimsAidan Sims
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.
Funding
Cohomology, symbolic dynamics and operator algebras
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.