Jones's planar-algebraic Walker conjecture for finite-depth subfactors
Jones's planar-algebraic Walker conjecture for finite-depth subfactors
Let be a finite-depth subfactor, let be its associated subfactor planar algebra, and let the --bimodule category generated by be the category whose Drinfeld center is under consideration. Jones's planar-algebraic Walker conjecture. The category of locally finite Hilbert affine representations of is equivalent to the Drinfeld center of the --bimodule category generated by .
This is the planar-algebra formulation of the preceding Walker conjecture, motivated by the finite-group subfactor case, where the relevant bimodule category is equivalent to the representation category of a finite group's quantum double. The supplied text does not state whether the finite-depth formulation is resolved.
Sources & referencesView supporting material
Primary source
Paramita Das, Shamindra Kumar Ghosh and Ved Prakash Gupta, “Drinfeld center of planar algebra”, arXiv:1203.3958 (2014).
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