K-theory and derived equivalences

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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

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K-Theory and Homology, Algebraic Topology, 19D99; 18E30, 55U35

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http://salesiana.dossiersoluciones.com/handle/123456789/64880

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209084
 http://arxiv.org/abs/math/0209084

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arXiv