A remark on groups with the fixed point property
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- by Barry Simon PDF
- Proc. Amer. Math. Soc. 32 (1972), 623-624 Request permission
Abstract:
We prove that any group with the fixed point property actually leaves fixed points for measurable actions rather than only jointly continuous actions.References
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G. Choquet, Lectures on analysis, Benjamin, New York, 1968.
- Mahlon M. Day, Fixed-point theorems for compact convex sets, Illinois J. Math. 5 (1961), 585–590. MR 138100
- Frederick P. Greenleaf, Invariant means on topological groups and their applications, Van Nostrand Mathematical Studies, No. 16, Van Nostrand Reinhold Co., New York-Toronto, Ont.-London, 1969. MR 0251549
- Neil W. Rickert, Amenable groups and groups with the fixed point property, Trans. Amer. Math. Soc. 127 (1967), 221–232. MR 222208, DOI 10.1090/S0002-9947-1967-0222208-6
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 623-624
- MSC: Primary 22D40
- DOI: https://doi.org/10.1090/S0002-9939-1972-0301138-2
- MathSciNet review: 0301138