Maltsiniotis's first conjecture for K_1

Details Maltsiniotis's first conjecture for K_1 Maltsiniotis's first conjecture for K_1

2007-07-12

arxiv.org/abs/0707.1892v2

International Mathematics Research Notices, Vol. 2008, Article ID rnm153, 31 pages.

Mathematics

K-Theory and Homology

23 pages, the main results have been generalized

Scientific paper

10.1093/imrn/rnm153

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.

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