Title: Torsion and K-theory for some free wreath products,
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 $SO_{q}(3)$.