English

The Adams isomorphism revisited

Algebraic Topology 2024-10-03 v2

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 GG-Mackey functors, GG-global homotopy theory, and equivariant Kasparov categories.

Keywords

Cite

@article{arxiv.2311.04884,
  title  = {The Adams isomorphism revisited},
  author = {Bastiaan Cnossen and Tobias Lenz and Sil Linskens},
  journal= {arXiv preprint arXiv:2311.04884},
  year   = {2024}
}

Comments

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

R2 v1 2026-06-28T13:15:25.119Z