Mathematics – Algebraic Topology
Scientific paper
2011-08-24
Mathematics
Algebraic Topology
Scientific paper
In previous work it is shown that there is an abelian category A(G) constructed to model rational G-equivariant cohomology theories, where G is a torus of rank r together with a homology functor \piA_* : Gspectra ---> A(G), and an Adams spectral sequence Ext_{A (G)} (\piA_*(X), \piA_*(Y)) ===> [X,Y]^G_* In joint work with Shipley (arxiv:1101.2511), it is shown that the Adams spectral sequence can be lifted to a Quillen equivalence Rational-Gspectra = DG-A (G). The purpose of the present paper is to prove that A(G) has injective dimension precisely r, and to construct certain torsion functors allowing us to make certain right adjoint constructions (such as products) in A(G). Along the way, we have an opportunity to prove a flatness result, and describe algebraic counterparts of some basic change of groups adjunctions.
No associations
LandOfFree
Rational torus-equivariant stable homotopy theory II: the algebra of the standard model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Rational torus-equivariant stable homotopy theory II: the algebra of the standard model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rational torus-equivariant stable homotopy theory II: the algebra of the standard model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-377806