On Sullivan’s invariant measure problem
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- by L. J. Bunce and J. D. Maitland Wright PDF
- Proc. Amer. Math. Soc. 103 (1988), 870-874 Request permission
Abstract:
Sullivan has posed an invariant measure problem for which a positive answer is very plausible. It also seems highly plausible that hyperfinite AW*-factors are injective. Surprisingly, it turns out that one of these problems must have a negative solution. Specifically we show that either the hyperfinite Takenouchi-Dyer factor is not injective, or no $G$-invariant category measure exists for any free, ergodic action of a countable nonamenable group $G$ on a perfect Polish space.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 870-874
- MSC: Primary 46L35; Secondary 28D15, 46L55
- DOI: https://doi.org/10.1090/S0002-9939-1988-0947672-5
- MathSciNet review: 947672