HKR characters, 𝑝-divisible groups and the generalized Chern character

Torii, Takeshi

doi:10.1090/S0002-9947-2010-05194-3

HKR characters, $p$-divisible groups and the generalized Chern character
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Abstract:

In this paper we describe the generalized Chern character of classifying spaces of finite groups in terms of Hopkins-Kuhn-Ravenel generalized group characters. For this purpose we study the $p$-divisible group and its level structures associated with the $K(n)$-localization of the $(n+1)$st Morava $E$-theory.

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