Groups of piecewise projective homeomorphisms
Group Theory
2013-09-10 v2 Dynamical Systems
Functional Analysis
Abstract
The group of piecewise projective homeomorphisms of the line provides straightforward counter-examples to the so-called von Neumann conjecture. The examples are so simple that many additional properties can be established.
Cite
@article{arxiv.1209.5229,
title = {Groups of piecewise projective homeomorphisms},
author = {Nicolas Monod},
journal= {arXiv preprint arXiv:1209.5229},
year = {2013}
}
Comments
This version submitted to PNAS on October 22, 2012. Final version published in PNAS at http://dx.doi.org/10.1073/pnas.1218426110