Maximal amenability of the radial subalgebra in free quantum group factors
Operator Algebras
2025-07-11 v2 Quantum Algebra
Abstract
We show that the radial MASA in the orthogonal free quantum group algebra L(FO_N) is maximal amenable if N is large enough, using the Asymptotic Orthogonality Property. This relies on a detailed study of the corresponding bimodule, for which we construct in particular a quantum analogue of R\u{a}dulescu's basis. As a byproduct we also obtain the value of the Puk\'anszky invariant for this MASA.
Keywords
Cite
@article{arxiv.2401.07785,
title = {Maximal amenability of the radial subalgebra in free quantum group factors},
author = {Roland Vergnioux and Xumin Wang},
journal= {arXiv preprint arXiv:2401.07785},
year = {2025}
}
Comments
35 pages, v2: major update, accepted version