Geodesic
On the Semigroup of Probability Measures of a Locally Compact Semigroup
Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 142-146

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DOI

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.
DOI : 10.4153/CMB-1987-021-4
Mots-clés : 43A07, 22A20, Locally compact semigroups, Topological invariant means, Fixed point properties 
Wong, James C.S. On the Semigroup of Probability Measures of a Locally Compact Semigroup. Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 142-146. doi: 10.4153/CMB-1987-021-4
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