Equivariant algebraic $K$-theory of symmetric monoidal Mackey functors
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909606533398528 |
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| author | Calle, Maxine Chan, David Péroux, Maximilien |
| author_facet | Calle, Maxine Chan, David Péroux, Maximilien |
| contents | We provide a unifying approach to different constructions of the algebraic $K$-theory of equivariant symmetric monoidal categories. A consequence of our work is that every connective genuine $G$-spectrum is equivalent to the equivariant algebraic $K$-theory of categorical Mackey functors of Bohmann-Osorno. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_04705 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equivariant algebraic $K$-theory of symmetric monoidal Mackey functors Calle, Maxine Chan, David Péroux, Maximilien Algebraic Topology K-Theory and Homology 55P91 (Primary) 19D23, 18N60, 18N10, 55P42, 18F25 (Secondary) We provide a unifying approach to different constructions of the algebraic $K$-theory of equivariant symmetric monoidal categories. A consequence of our work is that every connective genuine $G$-spectrum is equivalent to the equivariant algebraic $K$-theory of categorical Mackey functors of Bohmann-Osorno. |
| title | Equivariant algebraic $K$-theory of symmetric monoidal Mackey functors |
| topic | Algebraic Topology K-Theory and Homology 55P91 (Primary) 19D23, 18N60, 18N10, 55P42, 18F25 (Secondary) |
| url | https://arxiv.org/abs/2312.04705 |