K-theory of certain purely infinite crossed products

RIS ID

108036

Publication Details

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

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.

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Link to publisher version (DOI)

http://dx.doi.org/10.1016/j.jmaa.2016.05.001