A new characterization of the Haagerup property

19 Apr 2020  ·  Delabie Thiebout, Jolissaint Paul, Zumbrunnen Alexandre ·

The aim of the article is to provide a characterization of the Haagerup property for locally compact, second countable groups in terms of actions on $\sigma$-finite measure spaces. It is inspired by the very first definition of amenability, namely the existence of an invariant mean on the algebra of essentially bounded, measurable functions on the group...

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Group Theory