Logarithmic structures on topological K-theory spectra
Algebraic Topology
2014-11-11 v3 K-Theory and Homology
Abstract
We study a modified version of Rognes' logarithmic structures on structured ring spectra. In our setup, we obtain canonical logarithmic structures on connective K-theory spectra which approximate the respective periodic spectra. The inclusion of the p-complete Adams summand into the p-complete connective complex K-theory spectrum is compatible with these logarithmic structures. The vanishing of appropriate logarithmic topological Andre-Quillen homology groups confirms that the inclusion of the Adams summand should be viewed as a tamely ramified extension of ring spectra.
Cite
@article{arxiv.1204.0699,
title = {Logarithmic structures on topological K-theory spectra},
author = {Steffen Sagave},
journal= {arXiv preprint arXiv:1204.0699},
year = {2014}
}
Comments
v3: 30 pages; adjusted title and corrected proof of Proposition 4.15. Accepted for publication in Geometry and Topology