Article
K-theory of derivators revisited
Author/s | Muro Jiménez, Fernando
Raptis, George |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2017 |
Deposit Date | 2017-05-15 |
Published in |
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Abstract | We define a K-theory for pointed right derivators and show that it agrees with Waldhausen K-theory in the case where the derivator arises from a good Waldhausen category. This K-theory is not invariant under general ... We define a K-theory for pointed right derivators and show that it agrees with Waldhausen K-theory in the case where the derivator arises from a good Waldhausen category. This K-theory is not invariant under general equivalences of derivators, but only under a stronger notion of equivalence that is defined by considering a simplicial enrichment of the category of derivators. We show that derivator K-theory, as originally defined, is the best approximation to Waldhausen K-theory by a functor that is invariant under equivalences of derivators. |
Project ID. | FQM-5713
MTM2010-15831 SGR-119-2009 |
Citation | Muro Jiménez, F. y Raptis, G. (2017). K-theory of derivators revisited. Annals of K-theory, 2 (2), 303-340. |
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