37 citations · 104 across the 27 of their papers we have counts for
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math.OA2012★ 14 cited
The cup subalgebra of a II_1 factor given by a subfactor planar algebra is maximal amenable
Arnaud Brothier
To every subfactor planar algebra was associated a II_1 factor with a canonical abelian subalgebra generated by the cup tangle. Using Popa's approximative orthogonality property, w…
math.OA2012★ 37 cited
Rigid C^*-tensor categories of bimodules over interpolated free group factors
Arnaud Brothier, Michael Hartglass, David Penneys
Given a countably generated rigid C^*-tensor category C, we construct a planar algebra P whose category of projections Pro is equivalent to C. From P, we use methods of Guionnet-Jo…
math.OA2012
Unshaded planar algebras and their associated II_1 factors
Arnaud Brothier
Guionnet et al. gave a construction of a II_1 factor associated to a subfactor planar algebra. In this paper we define an unshaded planar algebra. To any unshaded planar algebra P…