### Examples of groups which are not weakly amenable

Narutaka Ozawa
Source: Kyoto J. Math. Volume 52, Number 2 (2012), 333-344.

#### Abstract

We prove that weak amenability of a locally compact group imposes a strong condition on its amenable closed normal subgroups. This extends non–weak amenability results of Haagerup (1988) and Ozawa and Popa (2010). A von Neumann algebra analogue is also obtained.

First Page:
Primary Subjects: 43A22
Secondary Subjects: 22D15, 46L10
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Permanent link to this document: http://projecteuclid.org/euclid.kjm/1335272982
Digital Object Identifier: doi:10.1215/21562261-1550985
Zentralblatt MATH identifier: 1242.43007
Mathematical Reviews number (MathSciNet): MR2914879

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