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Fixed point adjunctions for module spectra
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Greenlees, John and Shipley, B. E. (2014) Fixed point adjunctions for module spectra. Algebraic and Geometric Topology, 14 (3). pp. 1779-1799. doi:10.2140/agt.2014.14.1779 ISSN 1472-2747.
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WRAP-Fixed-point-adjunctions-for-equivariant-Greenlees-2014.pdf - Accepted Version - Requires a PDF viewer. Download (510Kb) | Preview |
Official URL: http://dx.doi.org/10.2140/agt.2014.14.1779
Abstract
We consider the Quillen adjunction between fixed points and inflation in the context of equivariant module spectra over equivariant ring spectra, and give numerous examples including some based on geometric fixed points and some on the Eilenberg-Moore spectral sequence. These results were originally presented as part of our equivalence between rational torus-equivariant spectra and an algebraic model in arXiv:1101.2511. However, the present results apply in many other interesting cases explored here, which are not rational and where the ambient group is not a torus. The material in arXiv:1101.2511v3 will be revised to refer to this paper.
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): | Adjunction theory, Geometry, Algebraic | |||||||||
Journal or Publication Title: | Algebraic and Geometric Topology | |||||||||
Publisher: | Mathematical Sciences Publishers | |||||||||
ISSN: | 1472-2747 | |||||||||
Official Date: | 29 May 2014 | |||||||||
Dates: |
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Volume: | 14 | |||||||||
Number: | 3 | |||||||||
Page Range: | pp. 1779-1799 | |||||||||
DOI: | 10.2140/agt.2014.14.1779 | |||||||||
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: | 22 March 2018 | |||||||||
RIOXX Funder/Project Grant: |
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