A note on invariant finitely additive measures
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- by S. G. Dani PDF
- Proc. Amer. Math. Soc. 93 (1985), 67-72 Request permission
Abstract:
We show that under certain general conditions any finitely additive measure which is defined for all subsets of a set $X$ and is invariant under the action of a group $G$ acting on $X$ is concentrated on a $G$-invariant subset $Y$ on which the $G$-action factors to that of an amenable group. The result is then applied to prove a conjecture of $S$. Wagon about finitely additive measures on spheres.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 67-72
- MSC: Primary 28C10; Secondary 22D40, 43A05
- DOI: https://doi.org/10.1090/S0002-9939-1985-0766529-3
- MathSciNet review: 766529