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

作者：Greenlees J P C^*; Shipley B

来源：Mathematische Zeitschrift, 2011, 269(1-2): 373-400.

DOI：10.1007/s00209-010-0741-2

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 Schwede and Shipley (Topology 42(1):103-153, 2003), the functors of Shipley (Am J Math 129:351-379, 2007) making rational spectra algebraic, Koszul duality and thick subcategory arguments based on the simplicity of the derived category of a polynomial ring.

• 出版日期2011-10