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Completed power operations for Morava E-theory

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 Added by Martin Frankland
 Publication date 2013
  fields
and research's language is English




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We construct and study an algebraic theory which closely approximates the theory of power operations for Morava E-theory, extending previous work of Charles Rezk in a way that takes completions into account. These algebraic structures are made explicit in the case of K-theory. Methodologically, we emphasize the utility of flat modules in this context, and prove a general version of Lazards flatness criterion for module spectra over associative ring spectra.



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66 - Martin Frankland 2016
The users guide provides a behind-the-scenes look at the paper of that title.
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Explicit calculations of the algebraic theory of power operations for a specific Morava E-theory spectrum are given, without detailed proofs.
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