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An algebraic model for rational torus-equivariant spectra
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Greenlees, John and Shipley, Brooke (2018) An algebraic model for rational torus-equivariant spectra. Journal of Topology, 11 (3). pp. 666-719. doi:10.1112/topo.12060 ISSN 1753-8416.
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Official URL: https://doi.org/10.1112/topo.12060
Abstract
We provide a universal de Rham model for rational G ‐equivariant cohomology theories for an arbitrary torus G . More precisely, we show that the representing category, of rational G ‐spectra, is Quillen equivalent to the explicit small and calculable algebraic model d A ( G ) of differential graded objects in the category A ( G ) introduced in [Greenlees, J. Pure Appl. Algebra 212 (2008) 72–98].
| Item Type: | Journal Article | |||||||||||||||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||||||||||||||
| Library of Congress Subject Headings (LCSH): | Torus (Geometry), Cohomology operations | |||||||||||||||||||||
| Journal or Publication Title: | Journal of Topology | |||||||||||||||||||||
| Publisher: | Wiley-Blackwell Publishing Ltd. | |||||||||||||||||||||
| ISSN: | 1753-8416 | |||||||||||||||||||||
| Official Date: | September 2018 | |||||||||||||||||||||
| Dates: |
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| Volume: | 11 | |||||||||||||||||||||
| Number: | 3 | |||||||||||||||||||||
| Page Range: | pp. 666-719 | |||||||||||||||||||||
| DOI: | 10.1112/topo.12060 | |||||||||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||||||||
| Publication Status: | Published | |||||||||||||||||||||
| Reuse Statement (publisher, data, author rights): | "This is the peer reviewed version of the following article: Greenlees, J. P. and Shipley, B. (2018), An algebraic model for rational torus‐equivariant spectra. Journal of Topology, 11: 666-719., which has been published in final form at https://doi.org/10.1112/topo.12060. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions." | |||||||||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||||||||
| Date of first compliant deposit: | 10 May 2018 | |||||||||||||||||||||
| Date of first compliant Open Access: | 4 October 2018 | |||||||||||||||||||||
| RIOXX Funder/Project Grant: |
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