On Some Adjunctions in Equivariant Stable Homotopy Theory

Abstract

We investigate certain adjunctions in derived categories of equivariant spectra, including a right adjoint to fixed points, a right adjoint to pullback by an isometry of universes, and a chain of two right adjoints to geometric fixed points. This leads to a variety of interesting other adjunctions, including a chain of 6 (sometimes 7) adjunctions involving the restriction functor to a subgroup of a finite group on equivariant spectra indexed over the trivial universe.

Cite this paper

@inproceedings{Hu2017OnSA, title={On Some Adjunctions in Equivariant Stable Homotopy Theory}, author={Po Hu and Igor Kr{\'i}z and Petr Somberg}, year={2017} }