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Rational torus-equivariant homotopy I: calculating groups of stable maps

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


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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.

Item Type: Article
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.
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:
URI: http://eprints.whiterose.ac.uk/id/eprint/7809

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