On a sequence of Grothendieck groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917814752772096 |
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| author | Gyenge, Ádám |
| author_facet | Gyenge, Ádám |
| contents | We show that a well-known exact sequence in K-theory for quotients of triangulated categories descends to numerical K-groups provided that the category, the quotient and the category we take the quotient with has a numerical K-group, and if either the quotient functor preserves compactness or the K-group of the quotient is torsion-free. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_03209 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On a sequence of Grothendieck groups Gyenge, Ádám K-Theory and Homology We show that a well-known exact sequence in K-theory for quotients of triangulated categories descends to numerical K-groups provided that the category, the quotient and the category we take the quotient with has a numerical K-group, and if either the quotient functor preserves compactness or the K-group of the quotient is torsion-free. |
| title | On a sequence of Grothendieck groups |
| topic | K-Theory and Homology |
| url | https://arxiv.org/abs/2209.03209 |