巴拿赫空间上的群作用与 a-T-可柔性的一项几何刻画
度量几何
2009-01-14 v3 泛函分析
摘要
我们通过群在巴拿赫空间 （）上的真仿射等距作用，证明了 a-T-可柔性的一项几何刻画。这回答了 A. Valette 的一个问题。
引用
@article{arxiv.math/0404402,
title = {Group actions on Banach spaces and a geometric characterization of a-T-menability},
author = {Piotr W. Nowak},
journal= {arXiv preprint arXiv:math/0404402},
year = {2009}
}
备注
This version differs significantly from both the published version and the previous arXiv versions. The reason is a long overdue correction of implication 1=>3 in the proof of the main result. In the current version the proof is fixed but with a very different argument. I owe thanks to Cornelia Drutu for helpful correspondence which led to this update