A classification of all finite index subfactors for a class of group-measure space $\mathrm{II}_1$ factors

Steven Deprez; Stefaan Vaes

doi:10.4171/jncg/85

JournalsjncgVol. 5, No. 4pp. 523–545

A classification of all finite index subfactors for a class of group-measure space $II_{1}$ 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 $\mathrm{II}_1$ factors cover$

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Abstract

We provide a family of group-measure space $II_{1}$ 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 $II_{1}$ factors. J. Noncommut. Geom. 5 (2011), no. 4, pp. 523–545

DOI 10.4171/JNCG/85