The radial MASA in free orthogonal quantum groups

Amaury Freslon , Roland Vergnioux (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

We prove that the radial subalgebra in free orthogonal quantum group factors is maximal abelian and mixing, and we compute the associated bimodule. The proof relies on new properties of the Jones–Wenzl projections and on an estimate of certain scalar products of coefficients of irreducible representations.

Domaines: Algèbres d'opérateurs [math.OA]

Amaury Freslon, Roland Vergnioux. The radial MASA in free orthogonal quantum groups. Journal of Functional Analysis, 2016, 271 (10), pp.2776-2807. ⟨10.1016/j.jfa.2016.08.007⟩. ⟨hal-01408848⟩