Greenlees, J.P.C. and Shipley, B. (2014) An algebraic model for free rational G-spectra. Bulletin of the London Mathematical Society, 46. 133 - 142. ISSN 0024-6093
Abstract
We show that for any compact Lie group G with identity component N and component group W = G/N, the category of free rational G-spectra is equivalent to the category of torsion modules over the twisted group ring H ∗ (BN)[W]. This gives an algebraic classification of rational G-equivariant cohomology theories on free G-spaces and a practical method for calculating the groups of natural transformations between them.
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Copyright, Publisher and Additional Information: | © 2013 The Author(s). This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | ||||
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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) | ||||
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Depositing User: | Symplectic Sheffield | ||||
Date Deposited: | 17 Jul 2014 13:02 | ||||
Last Modified: | 16 Nov 2015 11:49 | ||||
Published Version: | http://dx.doi.org/10.1112/blms/bdt066 | ||||
Status: | Published | ||||
Publisher: | Cambridge University Press | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1112/blms/bdt066 |