Geodesic
An algebraic model for rational SO(3)–spectra
Kędziorek, Magdalena1
1 Max Planck Institute for Mathematics, Bonn, Germany
Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 3095-3136

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2017.17.3095
Classification : 55N91, 55P42, 55P60
Keywords: equivariant spectra, model categories, algebraic model

Kędziorek, Magdalena 1

1 Max Planck Institute for Mathematics, Bonn, Germany 
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Kędziorek, Magdalena. An algebraic model for rational SO(3)–spectra. Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 3095-3136. doi: 10.2140/agt.2017.17.3095

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