Witt vectors and K-theory of automorphisms via noncommutative motives |
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| Authors: | Gonçalo Tabuada |
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| Affiliation: | 1. Department of Mathematics, MIT, Cambridge, MA, 02139, USA
2. Departamento de Matemática e CMA, FCT-UNL, Quinta da Torre, 2829-516, Caparica, Portugal
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| Abstract: | We prove that the functor ring-of-rational-Witt-vectors W 0(?) becomes co-representable in the category of noncommutative motives. As an application, we obtain an immediate extension of W 0(?) from commutative rings to schemes. Then, making use of the theory of noncommutative motives, we classify all natural transformations of the functor K-theory-of-automorphisms. |
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