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Rational
$\mathrm{SO}(2)$–equivariant spectra
David Barnes, J P C Greenlees, Magdalena Kędziorek and Brooke Shipley |
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Algebraic & Geometric Topology 17 (2017) 983–1020
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Abstract |
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We prove that the category of rational –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
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Mathematical Subject Classification 2010
Primary: 55N91, 55P42, 55P60
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References |
Publication
Received: 13 November 2015
Revised: 14 July 2016
Accepted: 19 October 2016
Published: 14 March 2017
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Authors |
| David Barnes | |
| Pure Mathematics Research
Centre Queen’s University Belfast University Road Belfast BT7 1NN United Kingdom |
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| http://www.qub.ac.uk/puremaths/Staff/David\%20Barnes/index.html | |
| J P C Greenlees | |
| School of Mathematics and
Statistics University of Sheffield The Hicks Building Sheffield S3 7RH United Kingdom |
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| http://www.greenlees.staff.shef.ac.uk/ | |
| Magdalena Kędziorek | |
| MATHGEOM École Polytechnique Fédérale de Lausanne CH-1015 Lausanne Switzerland |
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| http://people.epfl.ch/magdalena.kedziorek | |
| Brooke Shipley | |
| Department 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 |
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| http://homepages.math.uic.edu/~bshipley/ | |
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