Segal models for equivariant incomplete infinite loop spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915582735024128 |
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| author | Bantelmann, Tjark |
| author_facet | Bantelmann, Tjark |
| contents | We model equivariant infinite loop spaces indexed on incomplete universes via suitable equivariant analogs of $Γ$-spaces. The choice of universe dictates a transfer system which in turn dictates the Segal condition on equivariant $Γ$-spaces. Equivariant $Γ$-spaces themselves come in different but equivalent guises interpolating between categories $Γ$ as defined by Segal and $Γ_G$ as defined by Shimakawa. The main application is the construction of Segal $K$-theory of normed permutative categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24298 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Segal models for equivariant incomplete infinite loop spaces Bantelmann, Tjark Algebraic Topology K-Theory and Homology We model equivariant infinite loop spaces indexed on incomplete universes via suitable equivariant analogs of $Γ$-spaces. The choice of universe dictates a transfer system which in turn dictates the Segal condition on equivariant $Γ$-spaces. Equivariant $Γ$-spaces themselves come in different but equivalent guises interpolating between categories $Γ$ as defined by Segal and $Γ_G$ as defined by Shimakawa. The main application is the construction of Segal $K$-theory of normed permutative categories. |
| title | Segal models for equivariant incomplete infinite loop spaces |
| topic | Algebraic Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2510.24298 |