Vanishing of the KNil groups: localization methods

Details Vanishing of the KNil groups: localization methods Vanishing of the KNil groups: localization methods

2007-02-12

arxiv.org/abs/math/0702320v1

Mathematics

K-Theory and Homology

20 pages. See also http://www.institut.math.jussieu.fr/~bihler

Scientific paper

The aim of this article is to introduce Vogel's localization theorem for classes of D-complexes: this generalization of Waldhausen's localization theorem is especially useful and powerful in that it gives an explicit and computable description of the local objects. Next we present an excision theorem for transverse classes. Finally, we apply these methods to deduce partial results on Vogel's [Conjecture] on a regular ring R (cf [Bih01]).

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