Fixed-point property for affine actions on a Hilbert space
Group Theory
2017-05-09 v1 Differential Geometry
Abstract
Gromov showed that for fixed, arbitrarily large C, any uniformly C-Lipschitz affine action of a random group in his graph model on a Hilbert space has a fixed point. We announce a theorem stating that more general affine actions of the same random group on a Hilbert space have a fixed point. We discuss some aspects of the proof.
Cite
@article{arxiv.1705.02644,
title = {Fixed-point property for affine actions on a Hilbert space},
author = {Shin Nayatani},
journal= {arXiv preprint arXiv:1705.02644},
year = {2017}
}
Comments
15 pages