Completed power operations for Morava E-theory
Algebraic Topology
2015-09-15 v3 Commutative Algebra
K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1311.7123,
title = {Completed power operations for Morava E-theory},
author = {Tobias Barthel and Martin Frankland},
journal= {arXiv preprint arXiv:1311.7123},
year = {2015}
}
Comments
Version 3: Minor corrections. Journal version, up to small cosmetic changes