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An Algebraic Model For Free Rational G-Spectra for Connected Compact Lie Groups G.

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posted on 20.08.2012 by J. P. C. Greenlees, B. Shipley
We show that the category of free rational G-spectra for a connected compact Lie group G is Quillen equivalent to the category of torsion differential graded modules over the polynomial ring H∗(BG). The ingredients are the enriched Morita equivalences of [30], the functors of [34] making rational spectra algebraic and Koszul duality and thick subcategory arguments based on the simplicity of the derived category of a polynomial ring.

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© 2011 by Springer Verlag, Mathematische Zeitschrift The original publication is available at www.springerlink.com DOI: 10.1007/s00209-010-0741-2

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Springer Verlag

Language

en_US

issn

0025-5874

Issue date

01/10/2011

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