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K-theory and derived equivalences

Daniel Dugger·Brooke Shipley
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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.

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Daniel Dugger, Brooke Shipley. 2002-09-08. K-theory and derived equivalences. https://arxiv.org/abs/math/0209084

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