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Caltech

Logic Seminar

Monday, June 7, 2021
12:00pm to 1:00pm
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Online Event
A new proof of a theorem of Giordano, Putnam, and Skau
Julien Melleray, Institut Camille Jordan, Université Lyon 1,

A well-known result of Giordano-Putnam-Skau asserts that two minimal homeomorphisms of the Cantor space which have the same invariant Borel probability measures are orbit equivalent. I will present a new, rather elementary, proof of that fact, based on a strengthening of a 1979 theorem of Krieger concerning minimal actions of certain locally finite groups on the Cantor space. No familarity with topological dynamics will be assumed.
This is joint work with Simon Robert (Lyon).

For more information, please email A. Kechris at [email protected].