Abstract
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.
Citation
Tyler Lawson. "Commutative Γ-rings do not model all commutative ring spectra." Homology Homotopy Appl. 11 (2) 189 - 194, 2009.
Information
Published: 2009
First available in Project Euclid: 27 January 2011
zbMATH: 1189.55004
MathSciNet: MR2559641
Subjects:
Primary:
55P42
,
55P43
,
55S12
Keywords:
Dyer-Lashof operation
,
Gamma-space
,
ring spectrum
Rights: Copyright © 2009 International Press of Boston
