Title: K-theory and derived equivalences
Authors: Daniel Dugger and Brooke Shipley
AMS Math. Subj. Class. 19D99, 18E30, 55U35
Department of Mathematics, University of Oregon, Eugene, OR 97403
email: ddugger@math.uoregon.edu
Department of Mathematics, Purdue University, West Lafayette, IN 47907
email: bshipley@math.purdue.edu
Abstract:
We show that two rings have the same algebraic K-theory if their
derived categories are triangulated-equivalent. Similar results are
given for G-theory, and for the `compact K-theory' of a large class of
abelian categories.