An algebraic model for free rational G-spectra for connected compact Lie groups G

J. Greenlees; B. Shipley

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arXiv · 0906.5575

An algebraic model for free rational G-spectra for connected compact Lie groups G

J. Greenlees·B. Shipley

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Abstract

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 cohomology ring on the classifying space, H*(BG). The ingredients are enriched Morita equivalences, functors 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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BibTeX RIS

J. Greenlees, B. Shipley. 2010-06-10. An algebraic model for free rational G-spectra for connected compact Lie groups G. https://arxiv.org/abs/0906.5575

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