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On Godement's characterisation of amenability

Published online by Cambridge University Press:  17 April 2009

Alain Valette
Alain Valette
Affiliation:
Institut de MathématiquesRue Emile Argand 11CH-2007NeuchâtelSwitzerland
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Abstract

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Motivated by a question related to the construction of the Baum-Connes analytical assembly map for locally compact groups, we refine a criterion of Godement for amenability: for a unimodular group G, our criterion says that G is amenable if and only if every compactly supported, positive-definite function has non-negative integral over G.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 1 , February 1998 , pp. 153 - 158
Copyright
Copyright © Australian Mathematical Society 1998

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