A note on the von Neumann algebra of a Baumslag-Solitar group
Operator Algebras
2010-11-16 v1 Group Theory
Abstract
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 factor is prime, not solid, and does not have any Cartan subalgebra.
Keywords
Cite
@article{arxiv.1011.3160,
title = {A note on the von Neumann algebra of a Baumslag-Solitar group},
author = {Pierre Fima},
journal= {arXiv preprint arXiv:1011.3160},
year = {2010}
}