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On connective $K$-theory of elementary abelian $2$-groups and local duality

On connective $K$-theory of elementary abelian $2$-groups and local duality

The connective ku-(co)homology of elementary abelian 2groups is determined as a functor of the elementary abelian 2-group, using the action of the Milnor operations Q 0 , Q 1 on mod 2 group cohomology, the Atiyah-Segal theorem for KUcohomology, together with an analysis of the functorial structure of the integral …