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An algebraic model for rational toral G-spectra
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Barnes, David, Greenlees, John and Kedziorek, Magdalena (2020) An algebraic model for rational toral G-spectra. Algebraic & Geometric Topology, 19 (7). pp. 3541-3599. doi:10.2140/agt.2019.19.3541 ISSN 1472-2747.
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Official URL: http://doi.org/10.2140/agt.2019.19.3541
Abstract
For G a compact Lie group, toral G–spectra are those rational G–spectra whose geometric isotropy consists of subgroups of a maximal torus of G. The homotopy category of rational toral G–spectra is a retract of the category of all rational G–spectra.
We show that the abelian category of Greenlees (Algebr. Geom. Topol. 16 (2016) 1953–2019) gives an algebraic model for the toral part of rational G–spectra. This is a major step in establishing an algebraic model for all rational G–spectra for any compact Lie group G.
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): | Lie groups, Torus (Geometry), Homotopy groups, Abelian groups | ||||||
Journal or Publication Title: | Algebraic & Geometric Topology | ||||||
Publisher: | Mathematical Sciences Publishers | ||||||
ISSN: | 1472-2747 | ||||||
Official Date: | 17 December 2020 | ||||||
Dates: |
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Volume: | 19 | ||||||
Number: | 7 | ||||||
Page Range: | pp. 3541-3599 | ||||||
DOI: | 10.2140/agt.2019.19.3541 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Reuse Statement (publisher, data, author rights): | in Algebraic & Geometric Topology, 19(7) 2019 published by Mathematical Sciences Publishers, and the copyright notice in proper form must be placed on all copies. (This requirement can be accomplished by simply including the cover page with the file in your repository.) | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Copyright Holders: | Copyright 2019 Mathematical Sciences Publishers. This work is made available online in accordance with the publisher’s policies. Please refer to any applicable terms of use of the publisher. | ||||||
Date of first compliant deposit: | 6 March 2019 | ||||||
Date of first compliant Open Access: | 27 April 2020 | ||||||
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