A note on the von Neumann algebra of a Baumslag-Solitar group

Details A note on the von Neumann algebra of a Baumslag-Solitar group A note on the von Neumann algebra of a Baumslag-Solitar group

2010-11-13

arxiv.org/abs/1011.3160v1

Mathematics

Operator Algebras

Scientific paper

We study qualitative properties of the group von Neumann algebra of a
Baumslag-Solitar group. Namely, we prove that, in the non-amenable and {ICC}
case, the associated ${\rm II}_1$ factor is prime, not solid, and does not have
any Cartan subalgebra.

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