The Adams isomorphism revisited
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910627741564928 |
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| author | Cnossen, Bastiaan Lenz, Tobias Linskens, Sil |
| author_facet | Cnossen, Bastiaan Lenz, Tobias Linskens, Sil |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04884 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Adams isomorphism revisited Cnossen, Bastiaan Lenz, Tobias Linskens, Sil Algebraic Topology 55U35, 55P91 (Primary) 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. |
| title | The Adams isomorphism revisited |
| topic | Algebraic Topology 55U35, 55P91 (Primary) |
| url | https://arxiv.org/abs/2311.04884 |