Operads and Γ-homology of commutative rings
We introduce Γ-homology, the natural homology theory for E[infty infinity]-algebras, and a cyclic version of it. Γ-homology specializes to a new homology theory for discrete commutative rings, very different in general from André–Quillen homology. We prove its general properties, including at base change and transitivity theorems. We give an explicit bicomplex for the Γ-homology of a discrete algebra, and elucidate connections with stable homotopy theory.(Received May 8 2000)
(Revised October 24 2000)
1 S.W. was supported by a TMR grant from the European Union, held at the Laboratoire d'Analyse, Géométrie et Applications (UMR 7539 au CNRS), Université Paris-Nord. A.R. was supported by the EU Homotopy Theory Network.