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

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Abstract

We prove that every functor de ned on dg categories, which isderived Morita invariant, localizing, and A1-homotopy invariant, satis es thefundamental theorem. As an application, we recover in a uni ed and conceptualway, Weibel and Kassel's fundamental theorems in homotopy algebraicK-theory, and periodic cyclic homology, respectively.
Original languageUnknown
Pages (from-to)407-420
JournalJournal Of K-Theory
Volume9
Issue number3
DOIs
Publication statusPublished - 1 Jan 2012

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