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arXiv · 1710.00191

Torsion and K-theory for some free wreath products

Amaury Freslon·Rubén Martos
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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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Amaury Freslon, Rubén Martos. 2017-09-30. Torsion and K-theory for some free wreath products. https://arxiv.org/abs/1710.00191

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