Geodesic
On the cohomology of some Hopf algebroids and Hattori-Stong theorems
Homology, homotopy, and applications, Tome 2 (2000) no. 1, pp. 29-40.

Voir la notice de l'article provenant de la source International Press of Boston

We apply group cohomological methods to calculate the cohomology 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 $BP \to E(n)$, extending calculations of Clarke for the Todd orientation $MU \to KU$.
DOI : 10.4310/HHA.2000.v2.n1.a3
Classification : 55N20, 55N22, 55T15
Keywords: Hopf algebroid, comodule, Brown-Peterson spectrum, Johnson-Wilson spectrum, Galois cohomology 
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     title = {On the cohomology of some {Hopf} algebroids and {Hattori-Stong} theorems},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2000.v2.n1.a3/}
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Andrew Baker. On the cohomology of some Hopf algebroids and Hattori-Stong theorems. Homology, homotopy, and applications, Tome 2 (2000) no. 1, pp. 29-40. doi : 10.4310/HHA.2000.v2.n1.a3. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2000.v2.n1.a3/

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