HKR characters, $p$-divisible groups and the generalized Chern character
نویسندگان
چکیده
منابع مشابه
Equivariance of generalized Chern characters
In this note some generalization of the Chern character is discussed from the chromatic point of view. We construct a multiplicative Gn+1-equivariant natural transformation Θ from some height n + 1 cohomology theory E∗(−) to the height n cohomology theory K∗(−)b ⊗FL, where K∗(−) is essentially the nth Morava K-theory. As a corollary, it is shown that the Gn-module K ∗(X) can be recovered from t...
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We have shown that the n–th Morava K –theory K∗(X) for a CW–spectrum X with action of Morava stabilizer group Gn can be recovered from the system of some height–(n + 1) cohomology groups E∗(Z) with Gn+1 –action indexed by finite subspectra Z . In this note we reformulate and extend the above result. We construct a symmetric monoidal functor F from the category of E∨ ∗ (E)–precomodules to the ca...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2010
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-2010-05194-3