Rational SO(2)–equivariant spectra

Barnes, David¹ ; Greenlees, J P C² ; Kędziorek, Magdalena³ ; Shipley, Brooke⁴

¹Pure Mathematics Research Centre, Queen’s University Belfast, University Road, Belfast, BT7 1NN, United Kingdom
²School of Mathematics and Statistics, University of Sheffield, The Hicks Building, Sheffield, S3 7RH, United Kingdom
³MATHGEOM, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
⁴Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 508 SEO m/c 249, 851 S. Morgan Street, Chicago, IL 60607-7045, United States

Algebraic and Geometric Topology, Tome 17 (2017) no. 2, pp. 983-1020

Résumé

We prove that the category of rational SO(2)–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.

Détail

DOI : 10.2140/agt.2017.17.983

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

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