An algebraic model for rational naive-commutative equivariant ring spectra

2017/08/29 by Barnes, David, Greenlees, J. P. C., Kedziorek, Magdalena
#55N91 #55P42 #55P60 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1708.09003

Abstract

Equipping a non-equivariant topological E_∞ operad with the trivial G-action gives an operad in G-spaces. The algebra structure encoded by this operad in G-spectra is characterised homotopically by having no non-trivial multiplicative norms. Algebras over this operad are called naive-commutative ring G-spectra. In this paper we let G be a finite group and we show that commutative algebras in the algebraic model for rational G-spectra model the rational naive-commutative ring G-spectra.

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