Homology, Homotopy and Applications
Volume 11 (2009)
Commutative Γ-rings do not model all commutative ring spectra
Pages: 189 – 194
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.
gamma-space; ring spectrum; Dyer-Lashof operation
2010 Mathematics Subject Classification
55P42, 55P43, 55S12