Characterization of the Haagerup property for residually amenable groups
Characterization of the Haagerup property for residually amenable groups
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DOI：
10.4064/cm7502-3-2018
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发表时间：
2016-05
影响因子：
0.4
通讯作者：
K. Orzechowski
中科院分区：
文献类型：
--
作者：
K. Orzechowski
引入了盒族和离散有限粗嵌入的概念。满足Haagerup性质的可数的、剩余服从的群被刻画为具有一个盒族的群，该盒族允许一个有限粗嵌入到希尔伯特空间中。这是X的一个结果的推广。陈角，澳-地Wang和X.关于剩余有限群。
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.