A remark on groups with the fixed point property

Barry Simon

Type: Article

Publication Date: 1972-01-01

Citations: 3

DOI: https://doi.org/10.1090/s0002-9939-1972-0301138-2

Abstract

We prove that any group with the fixed point property actually leaves fixed points for measurable actions rather than only jointly continuous actions.

Locations

Proceedings of the American Mathematical Society - View - PDF

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Works That Cite This (3)

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+ PDF Chat	Amenability and Ergodic Properties of Topological Groups: From Bogolyubov Onwards	2017	Rostislav Grigorchuk Pierre de la Harpe
+	Finite-dimensional invariant subspaces for measurable semigroups of linear operators	1987	Anthony Lau James C. S. Wong
+	Fixed Point and Finite Dimensional Invariant Subspace Properties for Semigroups and Amenability	1995	Anthony To‐Ming Lau

Works Cited by This (3)

Action	Title	Year	Authors
+	Invariant means on topological groups and their applications	1969	Frederick Greenleaf
+ PDF Chat	Amenable groups and groups with the fixed point property	1967	Neil W. Rickert
+ PDF Chat	Amenable Groups and Groups with the Fixed Point Property	1967	Neil W. Rickert