Milnor operations and the generalized Chern character

Details Milnor operations and the generalized Chern character Milnor operations and the generalized Chern character

2009-03-26

arxiv.org/abs/0903.4708v1

Geom. Topol. Monogr. 10 (2007) 383-421

Mathematics

Algebraic Topology

This is the version published by Geometry & Topology Monographs on 18 April 2007

Scientific paper

10.2140/gtm.2007.10.383

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.

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