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Torsion and K-theory for some free wreath products (1710.00191v2)

Published 30 Sep 2017 in math.OA, math.KT, and math.QA

Abstract: We classify torsion actions of free wreath products of arbitrary compact quantum groups 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 $SO_{q}(3)$.

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