平均投影、投影间夹角与性质(T)的强化
群论
2017-01-24 v4 泛函分析
度量几何
摘要
利用平均投影方法并引入投影间夹角的新概念，我们建立了性质(T)某种强化类型的判据（该强化弱于Lafforgue引入的强Banach性质(T)概念）。我们还推导了关于不动点性质和Banach扩张图的一些应用，并给出了这些应用的例子。
引用
@article{arxiv.1507.08695,
title = {Averaged projections, angles between groups and strengthening of property (T)},
author = {Izhar Oppenheim},
journal= {arXiv preprint arXiv:1507.08695},
year = {2017}
}
备注
39 pages, added results regarding the connection between angle and graph Laplacian and improved results regarding groups acting on simplicial complexes