English

Maltsiniotis's first conjecture for K_1

K-Theory and Homology 2008-02-18 v2 Algebraic Topology

Abstract

We show that K_1 of an exact category agrees with K_1 of the associated triangulated derivator. More generally we show that K_1 of a Waldhausen category with cylinders and a saturated class of weak equivalences coincides with K_1 of the associated right pointed derivator.

Cite

@article{arxiv.0707.1892,
  title  = {Maltsiniotis's first conjecture for K_1},
  author = {Fernando Muro},
  journal= {arXiv preprint arXiv:0707.1892},
  year   = {2008}
}

Comments

23 pages, the main results have been generalized

R2 v1 2026-06-21T08:57:47.705Z