K-theory and derived equivalences

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.

22 pages

References in corpus (2)

• Algebras and modules in monoidal model categories
• Equivalences of monoidal model categories

Cited by in corpus (3)

• Morita theory in abelian, derived and stable model categories
• Axiomatic stable homotopy - a survey
• A variant of algebraic K-theory