Kyoto Journal of Mathematics

Weak amenability and simply connected Lie groups

Søren Knudby

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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

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

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

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Zentralblatt MATH identifier

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

weak amenability Lie groups locally compact groups


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

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