On maximal subfactors from quantum groups

Abstract

Motivated by a conjecture about maximal intermediate subfactors, in this paper we show that subfactors from representations of universal quantum enveloping algebras with deformation parameter greater than zero are maximal. This gives continuous family of non-amenable subfactors which verify our conjecture. Using the same idea we also give a group theoretical description of our conjecture for subfactors related to representations of finite group.