Witt vectors and K-theory of automorphisms via noncommutative motives
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229_2013_Article_632.pdf
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Author(s)
Trigo Neri Tabuada, Goncalo Jorge
Date Issued
June 2013
Journal
Manuscripta Mathematica
Publisher
Springer Berlin Heidelberg
Citation
Tabuada, Gonçalo. “Witt Vectors and K-Theory of Automorphisms via Noncommutative Motives.” Manuscripta Mathematica 143, no. 3–4 (June 18, 2013): 473–482.
Version
Author's final manuscript
Abstract
We prove that the functor ring-of-rational-Witt-vectors W[subscript 0](−) becomes co-representable in the category of noncommutative motives. As an application, we obtain an immediate extension of W[subscript 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00229-013-0632-z
