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Facets of the Witt Vectors

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arxiv 1910.10206 v1 pith:MALUZYNG submitted 2019-10-22 math.AT math.NT

Jonathan A. Campbell This is my paper · ORCID
classification math.ATmath.NT
keywords wittvectorsbasicgivepropertiesaccountalgebraicalong
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abstract

We give a $K$-theoretic account of the basic properties of Witt vectors. Along the way we re-prove basic properties of the little-known Witt vector norm, give a characterization of Witt vectors in terms of algebraic $K$-theory, and a presentation of the Witt vectors that is useful for computation.

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  1. Frobenius and Verschiebung for $K$-theory of endomorphisms

    math.KT 2025-07 conditional novelty 6.0 of 10

    Frobenius and Verschiebung operations are constructed on reduced K-theory of twisted endomorphisms over noncommutative rings, with the expected trace behavior.

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