%0 Journal Article
%T Milnor operations and the generalized Chern character
%A Takeshi Torii
%J Mathematics
%D 2009
%I arXiv
%R 10.2140/gtm.2007.10.383
%X We have shown that the n-th Morava K-theory K^*(X) for a CW-spectrum X with action of Morava stabilizer group G_n can be recovered from the system of some height-(n+1) cohomology groups E^*(Z) with G_{n+1}-action indexed by finite subspectra Z. In this note we reformulate and extend the above result. We construct a symmetric monoidal functor F from the category of E^{vee}_*(E)-precomodules to the category of K_{*}(K)-comodules. Then we show that K^*(X) is naturally isomorphic to the inverse limit of F(E^*(Z)) as a K_{*}(K)-comodule.
%U http://arxiv.org/abs/0903.4708v1