A note on K-theory and triangulated derivators

Abstract

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.

17 pages, in this new version we extend our results to all primes (before we worked with primes greater than three)

References in corpus (1)

• A curious example of two model categories and some associated differential graded algebras

Cited by in corpus (4)

• On the uniqueness of infinity-categorical enhancements of triangulated categories
• K-theory of derivators revisited
• The K-theory of left pointed derivators
• The bivariant parasimplicial ${\mathsf{S}}_{\bullet }$-construction