Maximal amenability of the radial subalgebra in free quantum group factors

Roland Vergnioux; Xumin Wang

doi:10.1016/j.jfa.2025.111118

Maximal amenability of the radial subalgebra in free quantum group factors

Roland Vergnioux^*
, Xumin Wang

^*Corresponding author for this work

School of Mathematics

Université de Caen Normandie
Seoul National University

Research output: Contribution to journal › Article › peer-review

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 Rădulescu's basis. As a byproduct we also obtain the value of the Pukánszky invariant for this MASA.

Original language	English
Article number	111118
Journal	Journal of Functional Analysis
Volume	289
Issue number	10
DOIs	https://doi.org/10.1016/j.jfa.2025.111118
State	Published - 15 Nov 2025

Keywords

MASA
Quantum groups
von Neumann algebras

Access to Document

10.1016/j.jfa.2025.111118

Cite this

@article{c08c1241361649a1867add80ae6c10bf,

title = "Maximal amenability of the radial subalgebra in free quantum group factors",

abstract = "We show that the radial MASA in the orthogonal free quantum group algebra L(FON) 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{\'a}nszky invariant for this MASA.",

keywords = "MASA, Quantum groups, von Neumann algebras",

author = "Roland Vergnioux and Xumin Wang",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier Inc.",

year = "2025",

month = nov,

day = "15",

doi = "10.1016/j.jfa.2025.111118",

language = "英语",

volume = "289",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "10",

}

TY - JOUR

T1 - Maximal amenability of the radial subalgebra in free quantum group factors

AU - Vergnioux, Roland

AU - Wang, Xumin

PY - 2025/11/15

Y1 - 2025/11/15

N2 - We show that the radial MASA in the orthogonal free quantum group algebra L(FON) 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 Rădulescu's basis. As a byproduct we also obtain the value of the Pukánszky invariant for this MASA.

AB - We show that the radial MASA in the orthogonal free quantum group algebra L(FON) 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 Rădulescu's basis. As a byproduct we also obtain the value of the Pukánszky invariant for this MASA.

KW - MASA

KW - Quantum groups

KW - von Neumann algebras

UR - https://www.scopus.com/pages/publications/105010153049

U2 - 10.1016/j.jfa.2025.111118

DO - 10.1016/j.jfa.2025.111118

M3 - 文章

AN - SCOPUS:105010153049

SN - 0022-1236

VL - 289

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 10

M1 - 111118

ER -

Maximal amenability of the radial subalgebra in free quantum group factors

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this