The Wirthmuller isomorphism revisited

Abstract

We show how the formal Wirthmuller isomorphism theorem proven in "Isomorphisms between left and right adjoints", by Fausk, Hu, and May, simplifies the proof of the Wirthmuller isomorphism in equivariant stable homotopy theory. Other examples from equivariant stable homotopy theory show that the hypotheses of the formal Wirthmuller and formal Grothendieck isomorphism theorems in the cited paper cannot be weakened.

9 pages

Cited by in corpus (6)

• The six operations in equivariant motivic homotopy theory
• Grothendieck-Neeman duality and the Wirthmüller isomorphism
• The compactness locus of a geometric functor and the formal construction of the Adams isomorphism
• A characterization of finite étale morphisms in tensor triangular geometry
• Rigidity in Equivariant Stable Homotopy Theory
• On The Algebraic $K$-Theory of Double Points