An example of a solid von Neumann algebra

Details An example of a solid von Neumann algebra An example of a solid von Neumann algebra

2008-04-02

arxiv.org/abs/0804.0288v1

Mathematics

Operator Algebras

4 pages

Scientific paper

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 $Z^2$.

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