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Orbit equivalence,flow equivalence and ordered cohomology
Orbit equivalence flow equivalence ordered cohomology
2015/9/29
We study self-homeomorphisms of zero dimensional metrizable compact Hausdorff spaces by means of the ordered first cohomology group, particularly in the light of the recent work of Giordano, Putnam, a...
Stable orbit equivalence of Bernoulli actions of free groups and isomorphism of some of their factor actions
Stable orbit equivalence Bernoulli actions isomorphism Dynamical Systems Group Theory
2011/8/26
Abstract: We give an elementary proof for Lewis Bowen's theorem saying that two Bernoulli actions of two free groups, each having arbitrary base probability spaces, are stably orbit equivalent. Our me...
Orbit Equivalence and Measured Group Theory
Orbit equivalence Measured group theory von Neumann algebras
2010/11/26
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.