A note on K-theory and triangulated derivators
In this paper we show an example of two differential graded algebras that have the same derivator K-theory but non-isomorphic Waldhausen K-theory. We also prove that Maltsiniotis’s comparison and localization conjectures for derivator K-theory cannot be simultaneously true.
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2011 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41877 |
| Online Access: | http://hdl.handle.net/11441/41877 https://doi.org/10.1016/j.aim.2011.04.005 |
| Access Level: | Open access |
| Keyword: | K-theory exact category Waldhausen category Grothendieck derivator |
| Summary: | In this paper we show an example of two differential graded algebras that have the same derivator K-theory but non-isomorphic Waldhausen K-theory. We also prove that Maltsiniotis’s comparison and localization conjectures for derivator K-theory cannot be simultaneously true. |
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