The radial MASA in free orthogonal quantum groups

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• 作者：Amaury Freslon^a ; ^{amaury.freslon@math.u-psud.fr" class="auth_mail" title="E-mail the corresponding author} ; Roland Vergnioux^b ; ^{roland.vergnioux@unicaen.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：46L65 ; 20G42 ; 46L10
• 刊名：Journal of Functional Analysis
• 出版年：2016
• 出版时间：15 November 2016
• 年：2016
• 卷：271
• 期：10
• 页码：2776-2807
• 全文大小：553 K

文摘

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.