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On Godement's characterisation of amenability
Published online by Cambridge University Press: 17 April 2009
Abstract
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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