Averaged projections, angles between groups and strengthening of property (T)
Group Theory
2017-01-24 v4 Functional Analysis
Metric Geometry
Abstract
Using the method of averaged projections and introducing a new notion of angles between projections, we establish a criterion for a certain type of strengthening of property (T) (which is weaker than the notion of strong Banach property (T) introduced by Lafforgue). We also derive several applications regarding fixed point properties and Banach expanders and give examples of these applications.
Keywords
Cite
@article{arxiv.1507.08695,
title = {Averaged projections, angles between groups and strengthening of property (T)},
author = {Izhar Oppenheim},
journal= {arXiv preprint arXiv:1507.08695},
year = {2017}
}
Comments
39 pages, added results regarding the connection between angle and graph Laplacian and improved results regarding groups acting on simplicial complexes