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On the Semigroup of Probability Measures of a Locally Compact Semigroup

Published online by Cambridge University Press:  20 November 2018

James C.S. Wong
James C.S. Wong*
Affiliation:
Department of Mathematics and Statistics University of Calgary Calgary, Alberta T2N 1N4
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Abstract

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We show that a locally compact semigroup S is topological left amenable iff a certain space of left uniformly continuous functions on the convolution semigroup of probability measures M0(S) on S is left amenable or equivalently iff the convolution semigroup M0(S) has the fixed point property for uniformly continuous affine actions on compact convex sets.

Keywords

43A0722A20Locally compact semigroupsTopological invariant meansFixed point properties
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 2 , 01 June 1987 , pp. 142 - 146
Copyright
Copyright © Canadian Mathematical Society 1987

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