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arXiv · 1504.04794

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

Jonathan H. Brown·Lisa Orloff Clark·Adam Sierakowski·Aidan Sims
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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.

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Jonathan H. Brown, Lisa Orloff Clark, Adam Sierakowski, Aidan Sims. 2015-04-19. Purely infinite simple C*-algebras that are principal groupoid C*-algebras. https://arxiv.org/abs/1504.04794

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