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arXiv · 1311.7123

Completed power operations for Morava E-theory

Tobias Barthel·Martin Frankland
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Abstract

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 Lazard's flatness criterion for module spectra over associative ring spectra.

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BibTeXRIS

Tobias Barthel, Martin Frankland. 2015-09-12. Completed power operations for Morava E-theory. https://doi.org/10.2140/agt.2015.15.2065

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