An example of a solid von Neumann algebra

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We prove that the group-measure-space von Neumann algebra $L^\infty(T^2) \rtimes SL(2,Z)$ is solid. The proof uses topological amenability of the action of $SL(2,Z)$ on the Higson corona of $Z^2$.
4 pages

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Operator Algebras, Functional Analysis, 46L35 (Primary); 43A07, 37A20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/157932

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.0288
 http://arxiv.org/abs/0804.0288

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arXiv