A class of II_1 factors with exactly two crossed product decompositions

Anna Krogager (KU Leuven)

Tuesday 8th November, 2016 16:00-17:00 Maths 522

Abstract

We construct the first II$_1$ factors having exactly two group measure space decompositions up to unitary conjugacy. More generally, for every positive integer $n$, we construct a II$_1$ factor $M$ that has exactly $n$ group measure space decompositions up to conjugacy by an automorphism. This is joint work with Stefaan Vaes.

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