#### Volume 17, issue 5 (2017)

 Recent Issues
Author Index
 The Journal About the Journal Editorial Board Subscriptions Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 To Appear Other MSP Journals
An algebraic model for rational $\mathrm{SO}(3)$–spectra

### Magdalena Kędziorek

Algebraic & Geometric Topology 17 (2017) 3095–3136
##### Abstract

Greenlees established an equivalence of categories between the homotopy category of rational $SO\left(3\right)$–spectra and the derived category $d\mathsc{A}\left(SO\left(3\right)\right)$ 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