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On determinant functors and K-theory

URN to cite this document:
urn:nbn:de:bvb:355-epub-159252
DOI to cite this document:
10.5283/epub.15925
Muro, Fernando ; Tonks, Andrew ; Witte, Malte
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Date of publication of this fulltext: 19 Jul 2010 08:47


Abstract

In this paper we introduce a new approach to determinant functors which allows us to extend Deligne's determinant functors for exact categories to Waldhausen categories, (strongly) triangulated categories, and derivators. We construct universal determinant functors in all cases by original methods which are interesting even for the known cases. Moreover, we show that the target of each universal ...

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