On a theorem of Hazrat and Hoobler

Mathematics – K-Theory and Homology

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Scientific paper

We use cycle complexes with coefficients in an Azumaya algebra, as developed
by Kahn and Levine, to compare the G-theory of an Azumaya algebra to the
G-theory of the base scheme. We obtain a sharper version of a theorem of Hazrat
and Hoobler in certain cases.

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