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On the homotopy type of the spectrum representing elliptic cohomology. (English) Zbl 0677.55005
This paper analyses the homotopy type at primes $$p>3$$ of the spectrum E11 representing a version of elliptic cohomology. The version chosen has coefficient ring equal to the ring of modular forms for $$SL_ 2(Z)$$. The main results are splitting theorems for appropriate localizations and completions. One nice result is that an appropriate reduction splits as copies of Morava K-theory.
Reviewer: R.E.Stong

##### MSC:
 55N20 Generalized (extraordinary) homology and cohomology theories in algebraic topology 14L05 Formal groups, $$p$$-divisible groups 11F03 Modular and automorphic functions
##### Keywords:
splitting theorems; localizations; completions; Morava K-theory
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##### References:
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