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Published 1996 | public
Book Section - Chapter

Actions of Polish Groups

Abstract

In §2.1 - 2.5, we survey some basic facts about Polish group actions, particularly continuous and Borel measurable actions on Polish spaces and standard Borel spaces, respectively. In §2.6 we establish the existence of universal actions for any Polish group, extending a result of Mackey and Varadarajan from the locally compact case. Finally, §2.7 is concerned with universal actions for S∞ and its closed subgroups.

Additional Information

© 1996 Cambridge University Press.

Additional details

Created:
August 20, 2023
Modified:
March 5, 2024