The fundamental theorem via derived Morita invariance, localization, and A^1-homotopy invariance

Details The fundamental theorem via derived Morita invariance, localization, and A^1-homotopy invariance The fundamental theorem via derived Morita invariance, localization, and A^1-homotopy invariance

2011-03-30

arxiv.org/abs/1103.5936v1

Mathematics

K-Theory and Homology

9 pages; to appear in Journal of K-theory

Scientific paper

We prove that every functor defined on dg categories, which is derived Morita
invariant, localizing, and A^1-homotopy invariant, satisfies the fundamental
theorem. As an application, we recover in a unified and conceptual way, Weibel
and Kassel's fundamental theorems in homotopy algebraic K-theory, and periodic
cyclic homology, respectively.

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