Clarification and Coinduction of Tambara Functors
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916894867456000 |
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| author | Wisdom, Noah |
| author_facet | Wisdom, Noah |
| contents | Tambara functors are equivariant analogues of rings arising in representation theory and equivariant homotopy theory. We introduce the notion of a clarified Tambara functor and show that under mild conditions every Tambara functor admits a decomposition as a product of coinductions of clarified Tambara functors; projection onto the non-coinduced part defines a reflective localization we call clarification. Through this perspective we study Morita invariance and $K$-theory of Tambara functors, field-like Tambara functors, and Nullstellensatzian clarified Tambara functors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08066 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Clarification and Coinduction of Tambara Functors Wisdom, Noah Algebraic Topology Commutative Algebra K-Theory and Homology Tambara functors are equivariant analogues of rings arising in representation theory and equivariant homotopy theory. We introduce the notion of a clarified Tambara functor and show that under mild conditions every Tambara functor admits a decomposition as a product of coinductions of clarified Tambara functors; projection onto the non-coinduced part defines a reflective localization we call clarification. Through this perspective we study Morita invariance and $K$-theory of Tambara functors, field-like Tambara functors, and Nullstellensatzian clarified Tambara functors. |
| title | Clarification and Coinduction of Tambara Functors |
| topic | Algebraic Topology Commutative Algebra K-Theory and Homology |
| url | https://arxiv.org/abs/2505.08066 |