Article Dans Une Revue Journal of Functional Analysis Année : 2025

Maximal amenability of the radial subalgebra in free quantum group factors

Résumé

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.

Dates et versions

hal-05156972 , version 1 (10-07-2025)

Identifiants

Citer

Roland Vergnioux, Xumin Wang. Maximal amenability of the radial subalgebra in free quantum group factors. Journal of Functional Analysis, 2025, 289 (10), pp.111118. ⟨10.1016/j.jfa.2025.111118⟩. ⟨hal-05156972⟩
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