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K-theory of certain purely infinite crossed products

Operator Algebras 2011-11-01 v1 Dynamical Systems

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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Cite

@article{arxiv.1110.6614,
  title  = {K-theory of certain purely infinite crossed products},
  author = {G. A. Elliott and A. Sierakowski},
  journal= {arXiv preprint arXiv:1110.6614},
  year   = {2011}
}

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20 pages