关于双曲三维流形群边界作用关联C*-代数之同构类型的注释
算子代数
2024-08-07 v2
摘要
利用Kirchberg-Phillips对纯无限C*-代数通过K理论的分类，我们证明了与 certain 双曲三维流形群作用于其Gromov边界上的跨积C*-代数的同构类型仅取决于该流形的同调。因此，我们得到了无数两两不同构的双曲群，其所有关联跨积均为同构。这些同构并非来自于底层群oid的同构，因而并非动力学性质。
引用
@article{arxiv.2407.15215,
title = {Note on C*-algebras associated to boundary actions of hyperbolic 3-manifold groups},
author = {Shirly Geffen and Julian Kranz},
journal= {arXiv preprint arXiv:2407.15215},
year = {2024}
}
备注
11 pages; revision related to Theorem A: Bram Mesland and Haluk \c{S}eng\"un brought to our attention that a result analogous to Theorem A was obtained by them in the case of non-compact manifolds, using identical techniques (reference within the article)