Free Diffusions and Property AO

Jason Asher

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arXiv · 0907.1314

Free Diffusions and Property AO

Jason Asher

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Abstract

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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Jason Asher. 2009-07-07. Free Diffusions and Property AO. https://arxiv.org/abs/0907.1314

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