3 problems

Let $c$ be a two-sided Kazhdan–Lusztig cell in a finite Weyl group, let $G_c$ be the associated finite group, and for each left cell $c^L\subset c$ let $H_{c^L}\leq G_c$ be the ass…

Rigidity-separability conjecture. Every rigid algebra is separable.

Let $\cP_\bullet$ be a unitary 2-shaded planar algebra. A finite-index homogeneous connected $\rm II_1$ multifactor inclusion is an inclusion $A\subset B$ with finite Jones index a…