Langlands functorality in K-theory for C∗-algebras. I. Base change

Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/123659

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DC Field	Value	Language
dc.contributor.author	Chao, K.F.	-
dc.contributor.author	Wang, H.	-
dc.date.issued	2017	-
dc.identifier.citation	Journal of Noncommutative Geometry, 2017; 11(3):1001-1036	-
dc.identifier.issn	1661-6952	-
dc.identifier.issn	1661-6960	-
dc.identifier.uri	http://hdl.handle.net/2440/123659	-
dc.description.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.	-
dc.description.statementofresponsibility	Kuok Fai Chao and Hang Wang	-
dc.language.iso	en	-
dc.publisher	European Mathematical Society	-
dc.rights	© European Mathematical Society	-
dc.source.uri	http://dx.doi.org/10.4171/jncg/11-3-7	-
dc.subject	K-theory; local Langlands correspondence; base change; reduced group C∗-algebra; tempered representation	-
dc.title	Langlands functorality in K-theory for C∗-algebras. I. Base change	-
dc.type	Journal article	-
dc.identifier.doi	10.4171/JNCG/11-3-7	-
dc.relation.grant	http://purl.org/au-research/grants/arc/DE160100525	-
pubs.publication-status	Published	-
Appears in Collections:	Aurora harvest 8 Mathematical Sciences publications

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