Open Access
September 2016 Weak amenability and simply connected Lie groups
Søren Knudby
Kyoto J. Math. 56(3): 689-700 (September 2016). DOI: 10.1215/21562261-3600238

Abstract

Following an approach of Ozawa, we show that several semidirect products are not weakly amenable. As a consequence, we are able to completely characterize the simply connected Lie groups that are weakly amenable.

Citation

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Søren Knudby. "Weak amenability and simply connected Lie groups." Kyoto J. Math. 56 (3) 689 - 700, September 2016. https://doi.org/10.1215/21562261-3600238

Information

Received: 4 June 2015; Revised: 6 July 2015; Accepted: 8 July 2015; Published: September 2016
First available in Project Euclid: 22 August 2016

zbMATH: 1348.43004
MathSciNet: MR3542782
Digital Object Identifier: 10.1215/21562261-3600238

Subjects:
Primary: 22E15 , 22E40 , 43A22 , 43A80

Keywords: Lie groups , Locally compact groups , weak amenability

Rights: Copyright © 2016 Kyoto University

Vol.56 • No. 3 • September 2016
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