Negative type functions on groups with polynomial growth
Group Theory
2019-10-18 v1
Abstract
The aim of this work is to show that on a locally compact, second countable, compactly generated group with polynomial growth and homogeneous dimension , there exist a continuous, proper, negative definite function with polynomial growth dimension arbitrary close to .
Cite
@article{arxiv.1512.02681,
title = {Negative type functions on groups with polynomial growth},
author = {Fabio Cipriani and Jean-Luc Sauvageot},
journal= {arXiv preprint arXiv:1512.02681},
year = {2019}
}