16 citations · 16 across the 2 of their papers we have counts for
2 papers
math.OA2012
Free Monotone Transport
A. Guionnet, D. Shlyakhtenko
By solving a free analog of the Monge-Ampère equation, we prove a non-commutative analog of Brenier's monotone transport theorem: if an -tuple of self-adjoint non-commutative ra…
math.OA2009★ 16 cited
A semi-finite algebra associated to a planar algebra
A. Guionnet, V. F. R. Jones, D. Shlyakhtenko
We canonically associate to any planar algebra two type II_{\infty} factors M_{+} and M_{-}. The subfactors constructed previously by the authors in a previous paper are isomorphic…