arXiv:1611.08415 Abstract | arXiv Analytics

arXiv:1611.08415 [math.AT]Abstract References Reviews Resources

An algebraic model for rational SO(3)-spectra

Published 2016-11-25Version 1

Greenlees established an equivalence of categories between the homotopy category of rational SO(3)-spectra and the derived category DA(SO(3)) of a certain abelian category. In this paper we lift this equivalence of homotopy categories to the level of Quillen equivalences of model categories. Methods used in this paper provide the first step towards obtaining an algebraic model for the toral part of rational G-spectra, for any compact Lie group G.

Categories: math.AT

Subjects: 55N91, 55P42, 55P60

Keywords: algebraic model, homotopy category, compact lie group, abelian category, quillen equivalences

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