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Rational SO(2)-equivariant spectra

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Barnes, D., Greenlees, John, Kedziorek, M. and Shipley, B. E. (2017) Rational SO(2)-equivariant spectra. Algebraic & Geometric Topology, 17 (2). pp. 983-1020. doi:10.2140/agt.2017.17.983 ISSN 1472-2747.

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Official URL: http://dx.doi.org/10.2140/agt.2017.17.983

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Abstract

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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Algebraic topology, Homology theory
Journal or Publication Title: Algebraic & Geometric Topology
Publisher: Mathematical Sciences Publishers
ISSN: 1472-2747
Official Date: 14 March 2017
Dates:
DateEvent
14 March 2017Published
19 October 2016Accepted
13 November 2015Submitted
Volume: 17
Number: 2
Page Range: pp. 983-1020
DOI: 10.2140/agt.2017.17.983
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 20 March 2018
Date of first compliant Open Access: 21 March 2018

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