Additivity for derivator K-theory |
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Authors: | Denis-Charles Cisinski Amnon Neeman |
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Institution: | a Institut Galilée - Université Paris 13, Avenue Jean-Baptiste Clément, 93430 Villetaneuse, France b Centre for Mathematics and Its Applications, Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia |
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Abstract: | We prove the additivity theorem for the K-theory of triangulated derivators. This solves one of the conjectures made by Maltsiniotis in G. Maltsiniotis, La K-théorie d'un dérivateur triangulé, in: Alexei Davydov, Michael Batanin, Michael Johnson, Stephen Lack, Amnon Neeman (Eds.), Categories in Algebra, Geometry and Physics, Conference and Workshop in honor of Ross Street's 60th Birthday, in: Contemp. Math., vol. 431, Amer. Math. Soc., 2007, pp. 341-368]. We also review some basic definitions and results in the theory of derivators in the sense of Grothendieck. |
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Keywords: | K-theory Derivators |
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