On group algebras of central group extensions

If A and G are separable locally compact topological groups with A abelian, a central group extension G\ itself a separable locally compact topological group, of A by G can be defined for each Borel 2-cocycle / from G to A. The structure of the group algebras of G f has been studied for the case of compact A. In this paper structure theorems for these group algebras are obtained in the general situation.