The generalized character map of Hopkins, Kuhn, and Ravenel [J. Amer. Math. Soc. 13 (2000) 553–594] can be interpreted as a map of cohomology theories beginning with a height cohomology theory and landing in a height cohomology theory with a rational algebra of coefficients that is constructed out of . We use the language of –divisible groups to construct extensions of the generalized character map for Morava –theory to every height between and .
Nathaniel Stapleton. "Transchromatic generalized character maps." Algebr. Geom. Topol. 13 (1) 171 - 203, 2013. https://doi.org/10.2140/agt.2013.13.171