arXiv:1605.04830 Abstract | arXiv Analytics

arXiv:1605.04830 [math.GR]Abstract References Reviews Resources

Characterization of the Haagerup property for residually amenable groups

Published 2016-05-16Version 1

The notions of a box family and fibred cofinitely-coarse embedding are introduced. The countable, residually amenable groups satisfying the Haagerup property are then characterized as those possessing a box family that admits a fibred cofinitely-coarse embedding into a Hilbert space. This is a generalization of a result of X. Chen, Q. Wang and X. Wang on residually finite groups.

Comments: 10 pages

Categories: math.GR, math.MG

Subjects: 20F65, 20E26, 51Fxx

Keywords: residually amenable groups, haagerup property, characterization, fibred cofinitely-coarse embedding, box family

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