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A note on minimal models for pmp actions.

Authors :
Zucker, Andy
Source :
Proceedings of the American Mathematical Society; Mar2020, Vol. 148 Issue 3, p1161-1168, 8p
Publication Year :
2020

Abstract

Given a countable group G, we say that a metrizable flow Y is model-universal if by considering the various invariant measures on Y, we can recover every free measure-preserving G-system up to isomorphism. Weiss in[ Dynamical systems and group actions , American Mathematical Society, Providence, RI, 2012, pp. 249-264] constructs a minimal model-universal flow. In this note, we provide a new, streamlined construction, allowing us to show that a minimal model-universal flow is far from unique. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
148
Issue :
3
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
141437858
Full Text :
https://doi.org/10.1090/proc/14765