An amenable equivalence relation is generated by a single transformation
An amenable equivalence relation is generated by a single transformation
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DOI：
10.1017/s014338570000136x
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发表时间：
1981-12
影响因子：
0.9
通讯作者：
A. Connes;J. Feldman;B. Weiss
中科院分区：
文献类型：
--
作者：
A. Connes;J. Feldman;B. Weiss
摘要 我们证明，对于任何合适的非奇异可数等价关系 R⊂X×X，存在 X 的非奇异变换 T，使得直到零集： 得出超有限因子的任意两个嘉当子代数通过自同构共轭。
Abstract We prove that for any amenable non-singular countable equivalence relation R⊂X×X, there exists a non-singular transformation T of X such that, up to a null set: It follows that any two Cartan subalgebras of a hyperfinite factor are conjugate by an automorphism.