An amenable equivalence relation is generated by a single transformation
作者： A. Connes , J. Feldman , B. Weiss
DOI: 10.1017/S014338570000136X
关键词: Null set 、 Matrix equivalence 、 Pure mathematics 、 Countable set 、 Preorder 、 Automorphism 、 Mathematics 、 Adequate equivalence relation 、 Discrete mathematics 、 Equivalence relation 、 Quotient algebra
摘要: We prove that for any amenable non-singular countable equivalence relation R⊂X×X, there exists a transformation T of X such that, up to null set:It follows two Cartan subalgebras hyperfinite factor are conjugate by an automorphism.
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