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

Journal Article


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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.

Publication Date


  • 2016

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.

Scopus Eid


  • 2-s2.0-84960488408

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=6346&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5318

Number Of Pages


  • 21

Start Page


  • 213

End Page


  • 234

Volume


  • 439

Issue


  • 1

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.

Publication Date


  • 2016

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.

Scopus Eid


  • 2-s2.0-84960488408

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=6346&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5318

Number Of Pages


  • 21

Start Page


  • 213

End Page


  • 234

Volume


  • 439

Issue


  • 1