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An algebraic model for rational torus-equivariant spectra
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Greenlees, John and Shipley, B. (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 dA(G) of differential graded objects in the category A(G) introduced in [24].
| 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): | Homology theory, Topological algebras | |||||||||||||||||||||
| Journal or Publication Title: | Journal of Topology | |||||||||||||||||||||
| Publisher: | London Mathematical Society | |||||||||||||||||||||
| 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 accepted 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. doi:10.1112/topo.12060, which has been published in final form at https://doi.org/10.1112/topo.12060 | |||||||||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||||||||
| Date of first compliant deposit: | 20 March 2018 | |||||||||||||||||||||
| Date of first compliant Open Access: | 26 September 2018 | |||||||||||||||||||||
| RIOXX Funder/Project Grant: |
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