Invariant Probability Measures on Compact Right Topological Groups

Paul Milnes
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Paul Milnes: University of Western Ontario

A chapter in Probability Measures on Groups X, 1991, pp 299-302 from Springer

Abstract: Abstract On an example of a compact right topological group, we construct a probability measure that is invariant under all right translations, is unique as such, and is also invariant under all continuous left translations. The construction is done in such a way as to indicate how to construct such a measure in the general case, starting from the structure theorem for compact right topological groups. The details for the general case are given in [4, 2, 3]. The measure on the example is also uniquely determined by invariance under all continuous left translations, a conclusion known not to be valid in general.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-2364-6_22

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DOI: 10.1007/978-1-4899-2364-6_22

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