We study reducible projective unitary representations (U_g)_g∈G of a compact group G in separable Hilbert spaces H. It is shown that there exist the projections Q and P for which V = span(U_gQU^*_g, g ∈ G) is the operator system and PVP = (CP). As an example, a bipartite Hilbert space H = H ⊗ H is considered. In this case, the action of (U_g)_g∈G has the property of transforming separable vectors to entangled.