Motives of Azumaya algebras

Bruno Kahn; Marc Levine

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arXiv · 0710.1614

Motives of Azumaya algebras

Bruno Kahn·Marc Levine

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Abstract

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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BibTeX RIS

Bruno Kahn, Marc Levine. 2008-02-17. Motives of Azumaya algebras. https://arxiv.org/abs/0710.1614

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