摘要
用扭曲锥的纤维化粗嵌入刻画了群的Haagerup性质.另外,群的Kazhdan’s性质(T)蕴含着扭曲锥的几何性质(T).
In this paper,we show that the fibred coarse embeddability of a warped cone implies the Haagerup property of the appropriate group.Moreover,Kazhdan’s property(T) of the group implies geometric property(T) of the warped cone.
作者
李国强
LI Guo-qiang(College of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)
出处
《数学的实践与认识》
2022年第1期212-215,共4页
Mathematics in Practice and Theory
基金
2018年度贵州财经大学引进人才科研启动项目(2018YJ18)。
关键词
粗几何
扭曲锥
纤维化粗嵌入
Haagerup性质
coarse geometry
warped cone
metric spaces
fibred coarse embeddability
Haagerup property
