Multipliers on Locally Compact Groups

Abstract

We have already seen in Chapter 1, section 1.4 that a covariant description of a quantum mechanical system leads us naturally to the concept of a projective unitary antiunitary (p.u.a.) representation of a group G. Associated with any such representation there is a decomposition of G = G₊ ∪ G₋ and a multiplier σ satisfying (1.4.4). We shall now investigate the properties of σ when G₋ = Ø and G is a locally compact second countable metric group.