Uniqueness of group-measure space Cartan subalgebras

Abstract

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.

24 pages

References in corpus (4)

• Strong solidity of group factors from lattices in SO(n,1) and SU(n,1)
• Some unique group-measure space decomposition results
• One-cohomology and the uniqueness of the group measure space decomposition of a II_1 factor
• A class of groups for which every action is W*-superrigid