The amenability and non-amenability of skew fields-Reference-Cited by-同舟云学术

The amenability and non-amenability of skew fields

Published:2005-08-29 Issue:3 Volume:134 Page:637-644
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Elek Gábor

Abstract

We investigate the amenability of skew field 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 finitely generated skew fields of infinite Gelfand-Kirillov transcendence degree.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-03/S0002-9939-05-08128-1/S0002-9939-05-08128-1.pdf

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