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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2002.03412 |
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| _version_ | 1866910900546437120 |
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| author | Bartels, Arthur Lueck, Wolfgang |
| author_facet | Bartels, Arthur Lueck, Wolfgang |
| contents | We extend the notion of regular coherence from rings to additive categories and show that well-known consequences of regular coherence for rings also apply to additive categories. For instance the negative K-groups and all twisted Nil-groups vanish for an additive category if it is regular coherent. This will be applied to nested sequences of additive categories, motivated by our ongoing project to determine the algebraic K-theory of the Hecke algebra of a reductive p-adic group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_03412 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Vanishing of Nil-terms and negative K-theory for additive categories Bartels, Arthur Lueck, Wolfgang K-Theory and Homology 18E05, 19D35 We extend the notion of regular coherence from rings to additive categories and show that well-known consequences of regular coherence for rings also apply to additive categories. For instance the negative K-groups and all twisted Nil-groups vanish for an additive category if it is regular coherent. This will be applied to nested sequences of additive categories, motivated by our ongoing project to determine the algebraic K-theory of the Hecke algebra of a reductive p-adic group. |
| title | Vanishing of Nil-terms and negative K-theory for additive categories |
| topic | K-Theory and Homology 18E05, 19D35 |
| url | https://arxiv.org/abs/2002.03412 |