Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/123659
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Type: | Journal article |
Title: | Langlands functorality in K-theory for C∗-algebras. I. Base change |
Author: | Chao, K.F. Wang, H. |
Citation: | Journal of Noncommutative Geometry, 2017; 11(3):1001-1036 |
Publisher: | European Mathematical Society |
Issue Date: | 2017 |
ISSN: | 1661-6952 1661-6960 |
Statement of Responsibility: | 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 |
Grant ID: | http://purl.org/au-research/grants/arc/DE160100525 |
Published version: | http://dx.doi.org/10.4171/jncg/11-3-7 |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
Files in This Item:
File | Description | Size | Format | |
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hdl_123659.pdf | Accepted version | 694.31 kB | Adobe PDF | View/Open |
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