Haagerup性质在拟等距下不具有不变性
群论
2026-02-25 v2
摘要
利用 Cornulier-Valette 和 Whyte 的工作，我们证明了 Haagerup 性质与弱顺从性在有限生成群的拟等距下均不具有不变性。
关键词
引用
@article{arxiv.1403.5446,
title = {The Haagerup property is not invariant under quasi-isometry},
author = {Mathieu Carette and Kevin Whyte and Sylvain Arnt and Thibault Pillon and Alain Valette},
journal= {arXiv preprint arXiv:1403.5446},
year = {2026}
}
备注
12 pages; Appendix A by Kevin Whyte; Appendix B by Sylvain Arnt, Thibault Pillon and Alain Valette