A class of II_1 factors with exactly two group measure space decompositions

Anna Sofie Krogager; Stefaan Vaes

A class of II_1 factors with exactly two group measure space decompositions

Operator Algebras 2017-06-13 v2

Authors: Anna Sofie Krogager , Stefaan Vaes

Abstract

We construct the first II_1 factors having exactly two group measure space decompositions up to unitary conjugacy. Also, 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.

Keywords

II_1 factors group measure space decomposition unitary conjugacy automorphism finite factor

Cite

@article{arxiv.1512.06677,
  title  = {A class of II_1 factors with exactly two group measure space decompositions},
  author = {Anna Sofie Krogager and Stefaan Vaes},
  journal= {arXiv preprint arXiv:1512.06677},
  year   = {2017}
}

Comments

v2: minor changes, final version, to appear in Journal de Math\'ematiques Pures et Appliqu\'ees

Related papers

View all related →