几何性质(T)与Kazhdan投影
算子代数
2024-09-10 v2 群论
度量几何
摘要
我们通过最大一致Roe代数中某个投影的存在性来刻画几何性质(T)，将群的Kazhdan投影概念推广到度量空间领域。我们还根据度量空间分解为粗连通分量来描述该投影。
引用
@article{arxiv.2312.00893,
title = {Geometric Property (T) and Kazhdan projections},
author = {Ignacio Vergara},
journal= {arXiv preprint arXiv:2312.00893},
year = {2024}
}
备注
Final version. 13 pages. Several improvements in the presentation, following the referee's comments. Results unchanged. Accepted for publication in Bulletin of the London Mathematical Society