The Haagerup property for Drinfeld doubles (1409.1509v2)

Abstract: We show that Drinfeld's double group construction for locally compact quantum groups preserves the Haagerup property. This shows that the Drinfeld doubles of the quantum groups, $C_{0}(\mathbb{F}{2})$, $SU{q}(2)$, $SU_{q}(1,1){\text{ext}}$, quantum $ax+b$, quantum $az+b$, and $E{q}(2)$ have the Haagerup property.