Motives of Azumaya algebras

Details Motives of Azumaya algebras Motives of Azumaya algebras

2007-10-08

arxiv.org/abs/0710.1614v2

Mathematics

K-Theory and Homology

An error in prop. 4.6.1 and theorem 4.7.1 was corrected by adding the hypothesis that A has square free index. Some duplicate

Scientific paper

We study the slice filtration for the K-theory of a sheaf of Azumaya algebras
A, and for the motive of a Severi-Brauer variety, the latter in the case of a
central simple algebra of prime degree over a field. Using the
Beilinson-Lichtenbaum conjecture, we apply our results to show the vanishing of
SK_2(A) for a central simple algebra A of square-free index.

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