a1 Departamento de Matematica, FCT-UNL, Quinta da Torre, 2829-516 Caparica, Portugal firstname.lastname@example.org
We prove that every functor defined on dg categories, which is derived Morita invariant, localizing, and 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.
(Received October 28 2010)
* Research partially supported by the Clay Mathematics Institute and by the FCT-Portugal grant PTDC/MAT/098317/2008.