从中值观点看Kazhdan和Haagerup性质
Kazhdan and Haagerup properties from the median viewpoint
摘要：
证明了具有度量壁的空间与中值度量空间之间存在密切联系。然后，我们将性质（T）和Haagerup（a-T-menability）与中值空间和具有测量壁的空间上的作用联系起来。这使我们能够探索经典性质（T）和Haagerup及其版本之间的关系，使用仿射等距作用在$L^p$ -空间。它还允许我们回答一个开放的问题上的动力学特性（T），推广Robertson-Steger的结果。
英文摘要：
We prove the existence of a close connection between spaces with measured walls and median metric spaces. We then relate properties (T) and Haagerup (a-T-menability) to actions on median spaces and on spaces with measured walls. This allows us to explore the relationship between the classical properties (T) and Haagerup and their versions using affine isometric actions on $L^p$-spaces. It also allows us to answer an open problem on a dynamical characterization of property (T), generalizing results of Robertson-Steger.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
