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 Radulescu's basis. As a byproduct we also obtain the value of the Puk\'anszky invariant for this MASA.
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