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arXiv · 1110.6614

K-theory of certain purely infinite crossed products

G. A. Elliott·A. Sierakowski
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Abstract

It was shown by Rordam 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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G. A. Elliott, A. Sierakowski. 2011-10-30. K-theory of certain purely infinite crossed products. https://arxiv.org/abs/1110.6614

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