Benjamini-Schramm and spectral convergence
Geometric Topology
2018-12-24 v4 Differential Geometry
Group Theory
Abstract
It is shown that under mild conditions, Benjamini-Schramm convergence of lattices in locally compact groups is equivalent to spectral convergence. Next both notions are extended to the relative case and are then expressed in terms of relative L2-theory.
Cite
@article{arxiv.1805.07083,
title = {Benjamini-Schramm and spectral convergence},
author = {Anton Deitmar},
journal= {arXiv preprint arXiv:1805.07083},
year = {2018}
}
Comments
to appear in L'Enseignement Math