Orbit Equivalence and Measured Group Theory

By Damien Gaboriau. 2010

90 citations recorded by the source corpus.

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.

View Paper: https://www.semanticscholar.org/paper/eaf05ed1f913dc84b9e1723e71660758dc53e521

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Citations in the corpus

• Continuous orbit equivalence rigidity (2015, background): “Here is a classical result (see [11, 31, 32] for more details).”
• Cartan subalgebras in C*-algebras. Existence and uniqueness (2017, result): “The situation we are describing here is completely analogous to the measurable framework, where a fruitful interplay between Cartan subalgebras in von Neumann algebras (vN-algebras), orbit equivalence for measure-preserving dynamical systems and geometric group theory has been established [56, 20, 1”
• Completeness of the isomorphism problem for separable C*-algebras (2013, unknown): “) orbits to orbits (see [32]).”