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

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posted on 2024-11-16, 09:00 authored by Jonathan 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

Australian Research Council

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Groupoids as bridges between algebra and analysis

Australian Research Council

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History

Citation

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.

Journal title

Journal of Mathematical Analysis and Applications

Volume

439

Issue

1

Pagination

213-234

Language

English

RIS ID

105836

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