15 September 2004 K-theory and derived equivalences
Daniel Dugger, Brooke Shipley
Duke Math. J. 124(3): 587-617 (15 September 2004). DOI: 10.1215/S0012-7094-04-12435-2

Abstract

We show that if two rings have equivalent derived categories, then they have the same algebraic K-theory. Similar results are given for G-theory and for a large class of abelian categories.

Citation

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Daniel Dugger. Brooke Shipley. "K-theory and derived equivalences." Duke Math. J. 124 (3) 587 - 617, 15 September 2004. https://doi.org/10.1215/S0012-7094-04-12435-2

Information

Published: 15 September 2004
First available in Project Euclid: 31 August 2004

zbMATH: 1056.19002
MathSciNet: MR2085176
Digital Object Identifier: 10.1215/S0012-7094-04-12435-2

Subjects:
Primary: 18E30 , 19D99
Secondary: 55U35

Rights: Copyright © 2004 Duke University Press

Vol.124 • No. 3 • 15 September 2004
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