The amenability and non-amenability of skew fields

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منابع مشابه

The amenability and non-amenability of skew fields

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. AMS Subject Classifications: 12E15, 43A07

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2005

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-05-08128-1