A survey of Measured Group Theory

Details A survey of Measured Group Theory A survey of Measured Group Theory

2009-01-06

arxiv.org/abs/0901.0678v2

Mathematics

Dynamical Systems

A survey for the Proceedings of a Conference honoring Robert Zimmer's 60th birthday. 61 pages. Referees comments are incorpora

Scientific paper

The title refers to the area of research which studies infinite groups using measure-theoretic tools, and studies the restrictions that group structure imposes on ergodic theory of their actions. The paper is a survey of recent developments focused on the notion of Measure Equivalence between groups, and Orbit Equivalence between group actions. We discuss known invariants and classification results (rigidity) in both areas.

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