English

The radial MASA in free orthogonal quantum groups

Operator Algebras 2016-12-06 v2 Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.1601.04204,
  title  = {The radial MASA in free orthogonal quantum groups},
  author = {Amaury Freslon and Roland Vergnioux},
  journal= {arXiv preprint arXiv:1601.04204},
  year   = {2016}
}

Comments

20 pages ; v2 : minor improvements

R2 v1 2026-06-22T12:30:50.505Z