Operator Algebra Seminars

We show that the group von Neumann algebra L(G) of a hyperbolic group is strongly solid, meaning: for any diffuse amenable subalgebra A of L(G), the normalizer of A inside L(G) is amenable (theorem due to I. Chifan and T. Sinclair, 2011). This result extends Ozawa's solidity result. The proof is based on a different and recent approach following the work of Boutonnet and Carderi, 2014.