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Symmetry properties of the Dold–Kan correspondence

Published online by Cambridge University Press:  10 March 2003

BIRGIT RICHTER
Affiliation:
Université Louis Pasteur, 7,rue René Descartes, 67084 Strasbourg cedex, France. e-mail: [email protected]

Abstract

The aim of this paper is to prove that the inverse of the normalization functor in the Dold–Kan correspondence $D:{\sf Ch}({\sf Ab})\rightarrow {\sf sAb}$ is an $E_{\infty}$-monoidal functor. This proves that generalized Eilenberg–MacLane spectra on differential graded commutative algebras are $E_{\infty}$-monoids in the category of $H{\bb Z}$-module spectra.

Type
Research Article
Copyright
2003 Cambridge Philosophical Society

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