On the automorphic side of the K-theoretic Artin symbol

被引:0
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作者
Peter Arndt
Oliver Braunling
机构
[1] Mathematical Institute of the Heinrich-Heine-Universität Düsseldorf,Freiburg Institute for Advanced Studies (FRIAS)
[2] University of Freiburg,undefined
来源
Selecta Mathematica | 2019年 / 25卷
关键词
Primary 22B05; Secondary 19D10; 11R37;
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摘要
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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