Examples of groups which are not weakly amenable

Narutaka Ozawa

doi:10.1215/21562261-1550985

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Home > Journals > Kyoto J. Math. > Volume 52 > Issue 2 > Article

Summer 2012 Examples of groups which are not weakly amenable

Narutaka Ozawa

Kyoto J. Math. 52(2): 333-344 (Summer 2012). DOI: 10.1215/21562261-1550985

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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.

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Narutaka Ozawa. "Examples of groups which are not weakly amenable." Kyoto J. Math. 52 (2) 333 - 344, Summer 2012. https://doi.org/10.1215/21562261-1550985