Wednesday, February 06, 2019
2:00 PM -
3:00 PM
Linde Hall 255
Logic Seminar
Series: Logic Seminar Series
Measures agreeing on invariant subsets
Forte Shinko,
Department of Mathematics,
Caltech,
Given a countable Borel equivalence relation on a standard Borel space X, when do two measures agree on the invariant sets? By a result of Þórisson, if G is a countable group generating the equivalence relation, then this property holds iff there exists a measure on G\times X whose pushforwards under the projection and the action are the original measures. We will investigate this and other equivalent formulations of this property.
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