Kyoto Journal of Mathematics

Weak amenability and simply connected Lie groups

Søren Knudby

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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.

Article information

Source
Kyoto J. Math., Volume 56, Number 3 (2016), 689-700.

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

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1471872288

Digital Object Identifier
doi:10.1215/21562261-3600238

Mathematical Reviews number (MathSciNet)
MR3542782

Zentralblatt MATH identifier
1348.43004

Subjects
Primary: 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc. 43A80: Analysis on other specific Lie groups [See also 22Exx] 22E40: Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx] 22E15: General properties and structure of real Lie groups

Keywords
weak amenability Lie groups locally compact groups

Citation

Knudby, Søren. Weak amenability and simply connected Lie groups. Kyoto J. Math. 56 (2016), no. 3, 689--700. doi:10.1215/21562261-3600238. https://projecteuclid.org/euclid.kjm/1471872288


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