JournalsjncgVol. 5, No. 4pp. 523–545

A classification of all finite index subfactors for a class of group-measure space II<sub>1</sub> factors

  • Steven Deprez

    Katholieke Universiteit Leuven, Belgium
  • Stefaan Vaes

    Katholieke Universiteit Leuven, Belgium
A classification of all finite index subfactors for a class of group-measure space II<sub>1</sub> factors cover

Abstract

We provide a family of group-measure space II1 factors for which all finite index subfactors can be explicitly listed. In particular, the set of all indices of irreducible subfactors can be computed. Concrete examples show that this index set can be any set of natural numbers that is closed under taking divisors and least common multiples.

Cite this article

Steven Deprez, Stefaan Vaes, A classification of all finite index subfactors for a class of group-measure space II<sub>1</sub> factors. J. Noncommut. Geom. 5 (2011), no. 4, pp. 523–545

DOI 10.4171/JNCG/85