Free Diffusions and Property AO

Details Free Diffusions and Property AO Free Diffusions and Property AO

2009-07-07

arxiv.org/abs/0907.1314v1

Mathematics

Operator Algebras

6 pages

Scientific paper

We consider von Neumann algebras generated by the stationary laws of free
stochastic differential equations of the form $dX_t = dS_t -1/2 DV(X_t)$ 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.

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