Super-expanders and warped cones
Metric Geometry
2021-04-21 v2 Dynamical Systems
Functional Analysis
Group Theory
Abstract
For a Banach space , we show that any family of graphs quasi-isometric to levels of a warped cone is an expander with respect to if and only if the induced -representation on has a spectral gap. This provides examples of graphs that are an expander with respect to all Banach spaces of non-trivial type.
Keywords
Cite
@article{arxiv.1704.03865,
title = {Super-expanders and warped cones},
author = {Damian Sawicki},
journal= {arXiv preprint arXiv:1704.03865},
year = {2021}
}
Comments
15 pages; to appear in Ann. Inst. Fourier; exposition rewritten, main result slightly generalised to accommodate local spectral gaps