Orbit Equivalence and Measured Group Theory

Damien Gaboriau (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

We give a survey of various recent developments in orbit equivalence and measured group theory. This subject aims at studying infinite countable groups through their measure preserving actions.

Keywords: Orbit equivalence; Measured group theory; von Neumann algebras

Domains: Mathematics [math]; Group Theory [math.GR]; Mathematics [math]; Operator Algebras [math.OA]

Damien Gaboriau. Orbit Equivalence and Measured Group Theory. International Congress of Mathematicians (ICM), International Mathematical Union (IMU) / M.S. Raghunathan, Tata Institute of Fundamental Research, Mumbai, 2010, Hyderabad, India. pp.1501-1527. ⟨ensl-00512729⟩