On the Cohomology of Some Hopf Algebroids and Hattori-stong Theorems
نویسنده
چکیده
We apply group cohomological methods to calculate the cohomol-ogy of K(n) BP as a K(n) K(n)-comodule, recovering recent results of Hovey and Sadofsky. As applications we determine the Chromatic Spectral Sequence for BP based on Johnson and Wilson's E(n), showing the relationship to some generalizations of the classical Hattori-Stong Theorem and determine the change of Hopf algebroid spectral sequence associated with the natural map BP ?! E(n), extending calculations of Clarke for the Todd orientation MU ?! KU.
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