  The connective ku-(co)homology of elementary abelian 2-groups is determined
as a functor of the elementary abelian 2-group. The argument requires only the
calculation of the rank one case and the Atiyah-Segal theorem for KU-cohomology
together with an analysis of the functorial structure of the integral group
ring. The methods can also be applied to the odd primary case.
  These results are used to analyse the local cohomology spectral sequence
calculating ku-homology, via a functorial version of local duality for Koszul
complexes. This gives a conceptual explanation of results of Bruner and
Greenlees.
