SMUD seminar: Seemingly injective von Neumann algebras By Gilles Pisier

Speaker:
Gilles Pisier
Title:
Seemingly injective von Neumann algebras
Abstract:
The talk will discuss the class of von Neumann algebras M that are seemingly injective in the following sense: there is a factorization of the identity of M through some B(H) via unital positive contractive maps. If M has a separable predual and is not nuclear, M is isomorphic (as a Banach space) to B(H) (with H separable). For instance this applies rather surprisingly to the von Neumann algebra of any free group.