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math.KT2002★ 5 cited
K-theory and derived equivalences
Daniel Dugger, Brooke Shipley
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 ca…
math.AT2002★ 9 cited
HZ-algebra spectra are differential graded algebras
Brooke Shipley
We show that the homotopy theory of differential graded algebras coincides with the homotopy theory of HZ-algebra spectra. Namely, we construct Quillen equivalences between the Qui…