We show that the free E∞-algebra on a zero-cell cannot be modeled by a commutative Γ-ring. The proof shows
that Dyer-Lashof operations of positive degree must vanish on the zero'th homology of such an object.
Publié le : 2009-05-15
Classification:
Gamma-space,
ring spectrum,
Dyer-Lashof operation,
55P43,
55S12,
55P42
@article{1296138517,
author = {Lawson, Tyler},
title = {Commutative $\Gamma$-rings do not model all commutative ring spectra},
journal = {Homology Homotopy Appl.},
volume = {11},
number = {1},
year = {2009},
pages = { 189-194},
language = {en},
url = {http://dml.mathdoc.fr/item/1296138517}
}
Lawson, Tyler. Commutative Γ-rings do not model all commutative ring spectra. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp. 189-194. http://gdmltest.u-ga.fr/item/1296138517/