There is a Hopf algebroid without antipode which is the dual of the algebra of power operations in Morava E-theory. In this paper we compare the category of comodules over the Hopf algebroid in the nth Morava E-theory with that in the (n + 1)st Morava E-theory. We show that the nth Morava E-theory of a finite complex with power operations can be obtained from the (n + 1)st Morava E-theory with power operations.
ASJC Scopus subject areas
- Mathematics (miscellaneous)