A note on K-theory and triangulated derivators

Autor(en): Muro, Fernando
Raptis, George
Stichwörter: CATEGORIES; Exact category; Grothendieck derivator; K-theory; Mathematics; RINGS; SPACES; Waldhausen category
Erscheinungsdatum: 2011
Herausgeber: ACADEMIC PRESS INC ELSEVIER SCIENCE
Journal: ADVANCES IN MATHEMATICS
Volumen: 227
Ausgabe: 5
Startseite: 1827
Seitenende: 1845
Zusammenfassung: 
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. (C) 2011 Elsevier Inc. All rights reserved.
ISSN: 00018708
DOI: 10.1016/j.aim.2011.04.005

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