Free Diffusions and Property AO

Abstract

We consider von Neumann algebras generated by the stationary laws of free stochastic differential equations of the form $d{X}_t=d{S}_t-1/2DV(X_t)$ for a suitably convex multivariate noncommutative polynomial $V$. Using techniques of Guionnet and Shlyakhtenko, we prove that these von Neumann algebras have property AO of Ozawa and are thus solid.

6 pages

References in corpus (1)

• Free diffusions and Matrix models with strictly convex interaction