Torsion and K-theory for Some Free Wreath Products
Résumé
Abstract We classify torsion actions of free wreath products of arbitrary compact quantum groups by $S_{N}^{+}$ and use this to prove that if $\mathbb{G}$ is a torsion-free compact quantum group satisfying the strong Baum–Connes property then $\mathbb{G}\wr _{\ast }S_{N}^{+}$ also satisfies the strong Baum–Connes property. We then compute the K-theory of free wreath products of classical and quantum free groups by $SO_{q}(3)$.
Domaines
Algèbres d'opérateurs [math.OA]Origine | Fichiers produits par l'(les) auteur(s) |
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