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Uniqueness of group-measure space Cartan subalgebras

These notes provide an account on four lectures given by Adrian Ioana at the Institut Henri Poincare in May 2011, regarding a number of "uniqueness of Cartan" type results obtained in a recent series of papers by Chifan-Peterson and Popa-Vaes. The text is purely expository.

preprint2011arXivOpen access
David Kyed
math.OA
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