A classification of all finite index subfactors for a class of group-measure space $\mathrm{II}_1$ factors
Copyright policy )A classification of all finite index subfactors for a class of group-measure space $\mathrm{II}_1$ factors
We provide a family of group-measure space \mathrm{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.
- Katholieke Universiteit Leuven Belgium
- KOBENHAVNS UNIVERSITET Denmark
- KU Leuven Belgium
MALLEABLE ACTIONS, II1 factors, Mathematics, Applied, COMPUTATIONS, 0101 Pure Mathematics, Classification of factors, subfactors, FOS: Mathematics, group-measure space construction, General groups of measure-preserving transformations, II\(_{1}\) factors, Operator Algebras (math.OA), rigidity for von Neumann algebras, Science & Technology, Physics, Mathematics - Operator Algebras, W-RIGID GROUPS, SUPERRIGIDITY, Physics, Mathematical, Subfactors and their classification, Physical Sciences, 4904 Pure mathematics, Rigidity for von Neumann algebras, math.OA, Mathematics
MALLEABLE ACTIONS, II1 factors, Mathematics, Applied, COMPUTATIONS, 0101 Pure Mathematics, Classification of factors, subfactors, FOS: Mathematics, group-measure space construction, General groups of measure-preserving transformations, II\(_{1}\) factors, Operator Algebras (math.OA), rigidity for von Neumann algebras, Science & Technology, Physics, Mathematics - Operator Algebras, W-RIGID GROUPS, SUPERRIGIDITY, Physics, Mathematical, Subfactors and their classification, Physical Sciences, 4904 Pure mathematics, Rigidity for von Neumann algebras, math.OA, Mathematics
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