On the Form of the Finite-dimensional Projective Representations of an Infinite Abelian Group
نویسنده
چکیده
If the locally compact abelian group G has a finitedimensional unitary irreducible projective representation with factor system co (i.e. G has an a>-rep), then a subgroup G(co) is defined which fulfils three roles. First, the square-root of the index of G(u)) in G is the dimension of every co-rep. Secondly, the co-reps of G can be labelled by the dual group of G(co), up to unitary equivalence. Thirdly, the essential projective form of an co-rep is determined by a unique projective representation of the finite group G/G(co).
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