Purely infinite simple C*-algebras that are principal groupoid C*-algebras
classification
🧮 math.OA
keywords
algebrasgroupoidprincipalalgebraamenablekirchbergconstructconstruction
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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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