The quest for an obstruction theory to E∞ ring structures on a spectrum has led a number of
authors to the investigation of homology in the category of E∞ algebras. In this note we …

We introduce Γ-homology, the natural homology theory for E∞-algebras, and a cyclic
version of it. Γ-homology specializes to a new homology theory for discrete commutative …

COMMUTATIVE Γ-RINGS DO NOT MODEL ALL COMMUTATIVE RING SPECTRA 1. Introduction
Page 1 Homology, Homotopy and Applications, vol.11(2), 2009, pp.189–194 COMMUTATIVE …

We prove that the stable homotopy of any Γ-module F is the homology of a bicomplex Ξ (F),
in which the (q− 1) st row is the two-sided bar construction ℬ (Lie* q, Σ q, F [q]). This gives a …

This paper concerns a subtle issue that arises when attempting to invert element in the
homotopy groups of equivariant commutative (E∞) rings. It arose for the authors in [5], as …

This thesis studies patterns in the homology and cohomology of algebras. We investigate
the vanishing of homology and cohomology groups, homological stability questions, and …

Mathematische Zeitschrift Page 1 DOI: 10.1007/s00209-004-0744-y Math. Z. 249, 903–944 (2005)
Mathematische Zeitschrift Homology and cohomology of E∞ ring spectra Maria Basterra1 …

arXiv:1408.2524v1 [math.CT] 11 Aug 2014 Page 1 arXiv:1408.2524v1 [math.CT] 11 Aug 2014
RESTRICTION TO SUBGROUPS AS ÉTALE EXTENSIONS, IN TOPOLOGY, KK-THEORY AND …

Restriction to finite-index subgroups as étale extensions in topology, KK–theory and geometry
Page 1 msp Algebraic & Geometric Topology 15 (2015) 3023–3045 Restriction to finite-index …

We outline an obstruction theory for deciding when a homotopy commutative and
associative ring spectrum is actually an E1 ring spectrum. The obstruction groups are Andr e …