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arXiv · 1703.07842

A K-theoretic approach to Artin maps

Dustin Clausen
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Abstract

We define a functorial "Artin map" attached to any small $\bf{Z}$-linear stable $\infty$-category, which in the case of perfect complexes over a global field recovers the usual Artin map from the idele class group to the abelianized absolute Galois group. In particular, this gives a new proof of the Artin reciprocity law.

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Dustin Clausen. 2017-04-03. A K-theoretic approach to Artin maps. https://arxiv.org/abs/1703.07842

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