论文标题

统一性的特征

Characterisations for uniform amenability

论文作者

Zhu, Jingming, Zhang, Jiawen

论文摘要

在本文中,我们提供了一些有关有限生成的群体家族的统一性的特征。更确切地说,我们表明,均匀舒适性的Hulanicki-Reiter条件可以在多个方向上削弱,包括支持的基础和某些操作员规范。

In this paper, we provide several characterisations for uniform amenability concerning a family of finitely generated groups. More precisely, we show that the Hulanicki-Reiter condition for uniform amenability can be weakened in several directions, including cardinalities of supports and certain operator norms.

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