Multiplier Hopf algebras imbedded in C${}^{\ast }$-algebraic quantum groups

K. De Commer, A. Van Daele

Let $(A,\Delta )$ be a locally compact quantum group and $(A_0,{\Delta }_0)$ a regular multiplier Hopf algebra. We show that if $(A_0,{\Delta }_0)$ can in some sense be imbedded in $(A,\Delta )$, then $A_0$ w…