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Jan 7, 2013 at 19:10 vote accept Jim Humphreys
Jan 7, 2013 at 19:10 comment added Jim Humphreys This is a convincing source, which I'm only marginally familiar with. The helpful detailed MathSciNet review by Hyman Bass brings out clearly the categorical generality in which Swan revisited Grothendieck's construction. Though the term "split Grothendieck group" doesn't seem to occur exactly in that form, the split version is certainly explicit enough.
Jan 7, 2013 at 15:12 history answered Stephan Müller CC BY-SA 3.0