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Characterization of the Haagerup property for residually amenable groups

Volume 155 / 2019

Kamil Orzechowski Colloquium Mathematicum 155 (2019), 215-226 MSC: Primary 20F65; Secondary 20E26, 54E40. DOI: 10.4064/cm7502-3-2018 Published online: 21 November 2018


The paper contains a characterization of the Haagerup property of residually amenable groups. The author first generalizes an argument used in a proof of a similar result of Chen et al. (2013) for residually finite groups to residually amenable groups, and then he finds a natural metric condition on a box family equivalent to the Haagerup property.


  • Kamil OrzechowskiFaculty of Mathematics and Natural Sciences
    University of Rzeszów
    1 Prof. St. Pigoń St.
    35-310 Rzeszów, Poland

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