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Type: Journal article
Title: Langlands functorality in K-theory for C∗-algebras. I. Base change
Author: Chao, K.
Wang, H.
Citation: Journal of Noncommutative Geometry, 2017; 11(3):1001-1036
Publisher: European Mathematical Society
Issue Date: 2017
ISSN: 1661-6952
Statement of
Kuok Fai Chao and Hang Wang
Abstract: We compare representations of the real and complex general linear groups and special linear groups in the framework of K-theory, using base change on L-parameters. We introduce a notion of base change on K-theory involving the fixed point set of the reduced dual of a complex group. For general linear groups, we prove that the base change map is compatible with the Connes–Kasparov isomorphism.
Keywords: K-theory; local Langlands correspondence; base change; reduced group C∗-algebra; tempered representation
Rights: © European Mathematical Society
DOI: 10.4171/JNCG/11-3-7
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Mathematical Sciences publications

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