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- Title
Torsion and K-theory for Some Free Wreath Products.
- Authors
Freslon, Amaury; Martos, Rubén
- 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 |$SO_{q}(3)$|.
- Subjects
K-theory; FREE groups; COMPACT groups; QUANTUM groups; WREATH products (Group theory)
- Publication
IMRN: International Mathematics Research Notices, 2020, Vol 2020, Issue 6, p1639
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rny071