Greenlees, J.P.C. (2008) Rational torus-equivariant homotopy I: calculating groups of stable maps. Journal of Pure and Applied Algebra, 212 (1). pp. 72-98. ISSN 0022-4049
Abstract
We construct an abelian category A(G) of sheaves over a category of closed subgroups of the r-torus G and show it is of finite injective dimension. It can be used as a model for rational $G$-spectra in the sense that there is a homology theory \piA_*: G-spectra/Q --> A(G) on rational G-spectra with values in A(G), and the associated Adams spectral sequence converges for all rational $G$-spectra and collapses at a finite stage.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Imported from arXiv. This is an author produced version of a paper subsequently published in 'Journal of Pure and Applied Algebra'. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Beccy Shipman |
Date Deposited: | 10 Mar 2009 09:48 |
Last Modified: | 16 Nov 2015 22:17 |
Published Version: | http://dx.doi.org/10.1016/j.jpaa.2007.05.010 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.jpaa.2007.05.010 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:7809 |