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K-theory of certain purely infinite crossed products

Journal Article


Abstract


  • It was shown by Rørdam and the second named author that a countable group G admits an action on a compact space such that the crossed product is a Kirchberg algebra if, and only if, G is exact and non-amenable. This construction allows a certain amount of choice. We show that different choices can lead to different algebras, at least with the free group.

Publication Date


  • 2016

Citation


  • Elliott, G. A. & Sierakowski, A. (2016). K-theory of certain purely infinite crossed products. Journal of Mathematical Analysis and Applications, 443 (1), 409-430.

Scopus Eid


  • 2-s2.0-84971632105

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/6083

Number Of Pages


  • 21

Start Page


  • 409

End Page


  • 430

Volume


  • 443

Issue


  • 1

Abstract


  • It was shown by Rørdam and the second named author that a countable group G admits an action on a compact space such that the crossed product is a Kirchberg algebra if, and only if, G is exact and non-amenable. This construction allows a certain amount of choice. We show that different choices can lead to different algebras, at least with the free group.

Publication Date


  • 2016

Citation


  • Elliott, G. A. & Sierakowski, A. (2016). K-theory of certain purely infinite crossed products. Journal of Mathematical Analysis and Applications, 443 (1), 409-430.

Scopus Eid


  • 2-s2.0-84971632105

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/6083

Number Of Pages


  • 21

Start Page


  • 409

End Page


  • 430

Volume


  • 443

Issue


  • 1