Torsion and K-theory for some free wreath products
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Torsion and K-theory for some free wreath products. / Freslon, Amaury ; Martos Prieto, Ruben.
I: International Mathematics Research Notices, Bind 2020, Nr. 6, 2018, s. 1639–1670.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Torsion and K-theory for some free wreath products
AU - Freslon, Amaury
AU - Martos Prieto, Ruben
PY - 2018
Y1 - 2018
N2 - 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).
AB - 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).
KW - Faculty of Science
KW - Baum–Connes conjecture
KW - Free group
KW - Free wreath product
KW - Quantum groups
KW - K-theory
KW - Torsion
U2 - https://doi.org/10.1093/imrn/rny071
DO - https://doi.org/10.1093/imrn/rny071
M3 - Journal article
VL - 2020
SP - 1639
EP - 1670
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
SN - 1073-7928
IS - 6
ER -
ID: 248546818