The amenability and non-amenability of skew fields
Rings and Algebras
2007-05-23 v1
Abstract
We investigate the amenability of skew filed extensions of the complex numbers. We prove that all skew fields of finite Gelfand-Kirillov transcendence degree are amenable. However there are both amenable and non-amenable skew fields of infinite Gelfand-Kirillov transcendence degree. For example, the free field is non-amenable.
Keywords
Cite
@article{arxiv.math/0311375,
title = {The amenability and non-amenability of skew fields},
author = {Gábor Elek},
journal= {arXiv preprint arXiv:math/0311375},
year = {2007}
}