English

An algebraic model for rational naive-commutative equivariant ring spectra

Algebraic Topology 2017-08-31 v1

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.

Keywords

Cite

@article{arxiv.1708.09003,
  title  = {An algebraic model for rational naive-commutative equivariant ring spectra},
  author = {David Barnes and J. P. C. Greenlees and Magdalena Kedziorek},
  journal= {arXiv preprint arXiv:1708.09003},
  year   = {2017}
}
R2 v1 2026-06-22T21:27:15.250Z