Abstract
We study a modified version of Rognes’ logarithmic structures on structured ring spectra. In our setup, we obtain canonical logarithmic structures on connective –theory spectra which approximate the respective periodic spectra. The inclusion of the –complete Adams summand into the –complete connective complex –theory spectrum is compatible with these logarithmic structures. The vanishing of appropriate logarithmic topological André–Quillen homology groups confirms that the inclusion of the Adams summand should be viewed as a tamely ramified extension of ring spectra.
Citation
Steffen Sagave. "Logarithmic structures on topological $K\!$–theory spectra." Geom. Topol. 18 (1) 447 - 490, 2014. https://doi.org/10.2140/gt.2014.18.447
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