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arXiv · 1803.00507

On the automorphic side of the K-theoretic Artin symbol

Peter Arndt·Oliver Braunling
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Abstract

Clausen has constructed a homotopical enrichment of the Artin reciprocity symbol in class field theory. On the Galois side, Selmer K-homology replaces the abelianized Galois group, while on the automorphic side the K-theory of locally compact vector spaces replaces classical idelic objects. We supply proofs for some predictions of Clausen regarding the automorphic side.

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Peter Arndt, Oliver Braunling. 2018-03-01. On the automorphic side of the K-theoretic Artin symbol. https://arxiv.org/abs/1803.00507

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