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Symmetry properties of the Dold–Kan correspondence

Published online by Cambridge University Press:  10 March 2003

BIRGIT RICHTER
BIRGIT RICHTER
Affiliation:
Université Louis Pasteur, 7,rue René Descartes, 67084 Strasbourg cedex, France. e-mail: richter@math.u-strasbg.fr
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 134 , Issue 1 , January 2003 , pp. 95 - 102
Copyright
2003 Cambridge Philosophical Society

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