Robinson, Alan (C. Alan) and Whitehouse, Sarah Ann (2002) Operads and Γ-homology of commutative rings. Mathematical Proceedings of the Cambridge Philosophical Society, Vol.13 (No.2). pp. 197-234. doi:10.1017/S0305004102005534

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Abstract

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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Homology theory, Commutative rings, Associative algebras, Cohomology operations, Algebraic topology
Journal or Publication Title:	Mathematical Proceedings of the Cambridge Philosophical Society
Publisher:	Cambridge University Press
ISSN:	0305-0041
Official Date:	March 2002
Dates:	Date Event March 2002 Published
Volume:	Vol.13
Number:	No.2
Page Range:	pp. 197-234
DOI:	10.1017/S0305004102005534
Status:	Peer Reviewed
Access rights to Published version:	Open Access
Funder:	Fifth Framework Programme (European Commission) (FP5), Homotopy Theory Network (European Union) (HTN)

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