99 citations · 460 across the 54 of their papers we have counts for
Showing 2009 · math.OAShow all
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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…
math.OA2009★ 25 cited
Strongly solid factors with an exotic MASA
Cyril Houdayer, Dimitri Shlyakhtenko
Using an extension of techniques of Ozawa and Popa, we give an example of a non-amenable strongly solid factor containing an "exotic" maximal abelian subalgebra …
math.OA2009★ 21 cited
Free probability of type B: analytic interpretation and applications
S. T. Belinschi, D. Shlyakhtenko
In this paper we give an analytic interpretation of free convolution of type B, introduced by Biane, Goodman and Nica, and provide a new formula for its computation. This formula a…