  Let A be a locally compact abelian group, and H a locally compact group
acting on A. Let G=HA be the semidirect product. We prove that the pair (G,A)
has Kazhdan's Property T if and only if the only countably approximable
H-invariant mean on the Borel subsets of the Pontryagin dual of A, supported at
the neighbourhood of the trivial character, is the Dirac measure.
