一些具有快速衰减性质的几何群
群论
2007-05-23 v3 泛函分析
摘要
我们解释了一些简单的方法,用以确立若干几何地出现的群所具有的快速衰减(Rapid Decay)性质。我们也给出具有快速衰减性质群的新例子。特别地,我们确立了秩一Lie群中所有格都具有快速衰减性质。
引用
@article{arxiv.math/0310356,
title = {Some geometric groups with rapid decay},
author = {Indira Chatterji and Kim Ruane},
journal= {arXiv preprint arXiv:math/0310356},
year = {2007}
}
备注
30 pages, 0 figures. There is a change in the content of the paper. The statement of Theorem 0.5 involving cube complexes in the original version fo the paper was incorrect. There is a change in the content of the paper. The proof of Lemma 2.10 needed the use of a result in Drutu-Sapir. This was pointed out to us by D. Groves. The paper has been accepted by GAFA for publication