An algebraic model for rational SO(3)–spectra

Kędziorek, Magdalena

doi:10.2140/agt.2017.17.3095

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An algebraic model for rational $\mathrm{SO}(3)$–spectra

Magdalena Kędziorek

Algebraic & Geometric Topology 17 (2017) 3095–3136

DOI: 10.2140/agt.2017.17.3095

Abstract

Greenlees established an equivalence of categories between the homotopy category of rational $SO (3)$ –spectra and the derived category $d A (SO (3))$ of a certain abelian category. In this paper we lift this equivalence of homotopy categories to the level of Quillen equivalences of model categories. Methods used in this paper provide the first step towards obtaining an algebraic model for the toral part of rational $G$ –spectra, for any compact Lie group $G$ .

Keywords

equivariant spectra, model categories, algebraic model

Mathematical Subject Classification 2010

Primary: 55N91, 55P42, 55P60

References

Publication

Received: 28 November 2016

Revised: 23 March 2017

Accepted: 6 April 2017

Published: 19 September 2017

Authors

Magdalena Kędziorek
Max Planck Institute for Mathematics Bonn Germany

Volume 17, issue 5 (2017)