Torsion and K-theory for some free wreath products

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We classify torsion actions of free wreath products of arbitrary compact quantum groups by SN+ and use this to prove that if G is a torsion-free compact quantum group satisfying the strong Baum-Connes property, then G≀*SN+ also satisfies the strong Baum-Connes property. We then compute the K-theory of free wreath products of classical and quantum free groups by SOq(3).
Original languageEnglish
JournalInternational Mathematics Research Notices
Volume2020
Issue number6
Pages (from-to)1639–1670
ISSN1073-7928
DOIs
Publication statusPublished - 2018
Externally publishedYes

    Research areas

  • Faculty of Science - Baum–Connes conjecture, Free group, Free wreath product, Quantum groups, K-theory, Torsion

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