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arXiv · 1708.09003

An algebraic model for rational naive-commutative equivariant ring spectra

David Barnes·J. P. C. Greenlees·Magdalena Kedziorek
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Abstract

Equipping a non-equivariant topological E_\infty 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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David Barnes, J. P. C. Greenlees, Magdalena Kedziorek. 2017-08-29. An algebraic model for rational naive-commutative equivariant ring spectra. https://arxiv.org/abs/1708.09003

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