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The Adams isomorphism revisited

  • Bastiaan Cnossen,
  • Tobias Lenz,
  • Sil Linskens

摘要

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