Group-like projections for locally compact quantum groups

We give a 1-1 correspondence between group-like projections in L∞(G) preserved by the scaling group and idempotent states on the dual quantum group G^ . As a byproduct we give a simple proof that normal integrable coideals in L∞(G) which are preserved by the scaling group are in 1-1 correspondence with compact quantum subgroups of G.