负定函数与可数群性质（T）的动力学刻画
Negative definite functions and a dynamical characterization of property (T) for countable groups
摘要：
利用测度空间定义了一类负定核。使用这个概念，可数群$\G$的性质（T）根据$\G$的测度保持作用被表征如下。如果集合$S$被$\G$的任何固定元素平移有限量，则存在关于$S$平移多远的统一界限。
英文摘要：
A class of negative definite kernels is defined in terms of measure spaces. Using this concept, property (T) for a countable group $\G$ is characterized in terms of measure preserving actions of $\G$, as follows. If a set $S$ is translated a finite amount by any fixed element of $\G$, then there is a uniform bound on how far $S$ is translated.
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。
