Maltsiniotis's first conjecture for K_1
arXiv:0707.1892 · doi:10.1093/imrn/rnm153
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.
23 pages, the main results have been generalized