Maltsiniotis's first conjecture for K1
We show that K1(E) of an exact category E agrees with K1(DE) of the associated triangulated derivator DE. More generally we show that K1(W) of a Waldhausen category W with cylinders and a saturated class of weak equivalences agrees with K1(DW) of the associated right pointed derivator DW.
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2008 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41891 |
| Online Access: | http://hdl.handle.net/11441/41891 https://doi.org/10.1093/imrn/rnm153 |
| Access Level: | Open access |
| Keyword: | K-theory exact category triangulated derivator Postnikov invariant stable quadratic module |
| Summary: | We show that K1(E) of an exact category E agrees with K1(DE) of the associated triangulated derivator DE. More generally we show that K1(W) of a Waldhausen category W with cylinders and a saturated class of weak equivalences agrees with K1(DW) of the associated right pointed derivator DW. |
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