English

A note on K-theory and triangulated derivators

K-Theory and Homology 2011-05-31 v2 Algebraic Topology Category Theory

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.

Keywords

Cite

@article{arxiv.1007.4776,
  title  = {A note on K-theory and triangulated derivators},
  author = {Fernando Muro and George Raptis},
  journal= {arXiv preprint arXiv:1007.4776},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T15:53:44.646Z