Benjamini-Schramm and spectral convergence II. The non-homogeneous case
Spectral Theory
2024-07-25 v1 Algebraic Topology
Number Theory
Abstract
The equivalence of spectral convergence and Benjamini-Schramm convergence is extended from homogeneous spaces to spaces which are compact modulo isometry group. The equivalence is proven under the condition of a uniform discreteness property. It is open, which implications hold without this condition.
Keywords
Cite
@article{arxiv.2407.17264,
title = {Benjamini-Schramm and spectral convergence II. The non-homogeneous case},
author = {Anton Deitmar},
journal= {arXiv preprint arXiv:2407.17264},
year = {2024}
}