A note on the support of right invariant measures

N. A. Tserpes

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-4

Abstract:

A regular measure μ on a locally compact topological semigroup is called right invariant if μ ( K x ) = μ ( K ) for every compact K and x in its support. It is shown that this condition implies a property reminiscent of the right cancellation law. This is used to generalize a theorem of A. Mukherjea and the author (with a new proof) to the effect that the support of an r * -invariant measure is a left group iff the measure is right invariant on its support.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:190249

DOI: 10.1155/S016117129200053X

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