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An algebraic model for
rational toral $G$–spectra
David Barnes, John Greenlees and Magdalena Kędziorek |
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Algebraic & Geometric Topology 19 (2019) 3541–3599
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Abstract |
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For a compact Lie group, toral –spectra are those rational –spectra whose geometric isotropy consists of subgroups of a maximal torus of . The homotopy category of rational toral –spectra is a retract of the category of all rational –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 –spectra. This is a major step in establishing an algebraic model for all rational –spectra for any compact Lie group . |
Keywords
equivariant cohomology, rational equivariant spectra,
algebraic models, model category
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Mathematical Subject Classification 2010
Primary: 55N91
Secondary: 55P42, 55P60
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References |
Publication
Received: 12 June 2018
Revised: 10 January 2019
Accepted: 5 March 2019
Published: 17 December 2019
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Authors |
| David Barnes | |
| Mathematical Sciences Research
Centre Queen’s University Belfast Belfast United Kingdom |
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| John Greenlees | |
| Mathematics Institute University of Warwick Coventry United Kingdom |
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| Magdalena Kędziorek | |
| Max Planck Institute for
Mathematics Bonn Germany |
Mathematical Institute Utrecht University Utrecht Netherlands |
