English

Free Diffusions and Property AO

Operator Algebras 2009-07-10 v1

Abstract

We consider von Neumann algebras generated by the stationary laws of free stochastic differential equations of the form dXt=dSt1/2DV(Xt)dX_t = dS_t -1/2 DV(X_t) for a suitably convex multivariate noncommutative polynomial VV. Using techniques of Guionnet and Shlyakhtenko, we prove that these von Neumann algebras have property AO of Ozawa and are thus solid.

Keywords

Cite

@article{arxiv.0907.1314,
  title  = {Free Diffusions and Property AO},
  author = {Jason Asher},
  journal= {arXiv preprint arXiv:0907.1314},
  year   = {2009}
}

Comments

6 pages

R2 v1 2026-06-21T13:22:39.789Z