The Adams isomorphism revisited

Publication date

2023-11-08

Authors

Cnossen, Bastiaan
Lenz, TobiasISNI 0000000524044603
Linskens, Sil

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Document Type

/dk/atira/pure/researchoutput/researchoutputtypes/workingpaper/preprint
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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 $G$-Mackey functors, $G$-global homotopy theory, and equivariant Kasparov categories.

Keywords

math.AT, 55U35, 55P91 (Primary)

Citation

Cnossen, B, Lenz, T & Linskens, S 2023 'The Adams isomorphism revisited' arXiv, pp. 1-29. https://doi.org/10.48550/arXiv.2311.04884