Sutanu Roy
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.
Sutanu Roy
This paper contains 5 sections, 4 theorems, 20 equations.
Proposition 3.4
The pair $(\rho,\theta)$ is a $\mathbb G$-Drinfeld pair. Define $\mathcal{D}\mathrel{\vcentcolon=}\rho(A)\cdot\theta(\hat{A}) \subseteq\mathbb B(\textup{L}^{2}(\mathbb G)\otimes\textup{L}^{2}(\mathbb G))$ and a map $\Delta_{\mathcal{D}}\colon\mathcal{D}\to \mathbb B(\textup{L}^{2}(\mathbb G)\otimes\ Then $(\mathcal{D},\Delta_{\mathcal{D}})$ is the dual quantum group of the quantum codouble $\mathf
