%0 Journal Article
%T The amenability and non-amenability of skew fields
%A G¨¢bor Elek
%J Mathematics
%D 2003
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0311375v1