H-infinity is not E-infinity
Algebraic Topology
2014-04-22 v2
Abstract
We provide an example of a spectrum over S^0 with an H_\infty structure which does not rigidify to an E_3 structure. It follows that in the category of spectra over S^0 not every H_\infty ring spectrum comes from an underlying E_\infty ring spectrum. After comparing definitions, we obtain this example by applying \Sigma^\infty_+ to the counterexample to the transfer conjecture constructed by Kraines and Lada.
Cite
@article{arxiv.0910.3566,
title = {H-infinity is not E-infinity},
author = {Justin Noel},
journal= {arXiv preprint arXiv:0910.3566},
year = {2014}
}
Comments
This paper was long ago accepted for publication in the Proceedings of the 4th Arolla Conference. This is the publication version