Transchromatic generalized character maps

The generalized character map of Hopkins, Kuhn, and Ravenel [9] can be interpreted as a map of cohomology theories beginning with a height n cohomology theory E and landing in a height 0 cohomology theory with a rational algebra of coefficients that is constructed out of E. We use the language of p-divisible groups to construct extensions of the generalized character map for Morava E-theory to every height between 0 and n.