Volume 17, issue 2 (2017)

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Rational $\mathrm{SO}(2)$–equivariant spectra

David Barnes, J P C Greenlees, Magdalena Kędziorek and Brooke Shipley

Algebraic & Geometric Topology 17 (2017) 983–1020
Abstract

We prove that the category of rational $SO\left(2\right)$–equivariant spectra has a simple algebraic model. Furthermore, all of our model categories and Quillen equivalences are monoidal, so we can use this classification to understand ring spectra and module spectra via the algebraic model.

Keywords
equivariant spectra, model categories, right Bousfield localization, algebraic models, ring spectra
Mathematical Subject Classification 2010
Primary: 55N91, 55P42, 55P60