paper

The Adams isomorphism revisited

arXiv:2311.04884 · doi:10.1007/s00209-024-03582-w

Abstract

We establish abstract Adams isomorphisms in an arbitrary equivariantly presentable equivariantly semiadditive global category. This encompasses the well-known Adams isomorphism in equivariant stable homotopy theory, and applies more generally in the settings of -Mackey functors, -global homotopy theory, and equivariant Kasparov categories.

Corrected Proposition 4.13, otherwise minor revision following a referee report. 33 pages

The Adams isomorphism revisited · wovepaper