Every compact group arises as the outer automorphism group of a II1 factor
Copyright policy )Every compact group arises as the outer automorphism group of a II1 factor
We show that any compact group can be realized as the outer automorphism group of a factor of type II_1. This has been proved in the abelian case by Ioana, Peterson and Popa applying Popa's deformation/rigidity techniques to amalgamated free product von Neumann algebras. Our methods are a generalization of theirs.
Minor misprints corrected, final version
- KU Leuven Belgium
- Katholieke Universiteit Leuven Belgium
MALLEABLE ACTIONS, SUBFACTORS, General Mathematics, General theory of von Neumann algebras, property (T), II_1 factor, Amalgamated free product, 0101 Pure Mathematics, FOS: Mathematics, Operator Algebras (math.OA), outer automorphism group, ALGEBRAS, INDEX, Deformation/rigidity, BERNOULLI ACTIONS, Science & Technology, II1 factor, General groups of measure-preserving transformations and dynamical systems, Property (T), Mathematics - Operator Algebras, W-RIGID GROUPS, Outer automorphism group, \(\text{II}_{1}\) factor, Physical Sciences, 4904 Pure mathematics, amalgamated free product, deformation/rigidity, Mathematics, Analysis
MALLEABLE ACTIONS, SUBFACTORS, General Mathematics, General theory of von Neumann algebras, property (T), II_1 factor, Amalgamated free product, 0101 Pure Mathematics, FOS: Mathematics, Operator Algebras (math.OA), outer automorphism group, ALGEBRAS, INDEX, Deformation/rigidity, BERNOULLI ACTIONS, Science & Technology, II1 factor, General groups of measure-preserving transformations and dynamical systems, Property (T), Mathematics - Operator Algebras, W-RIGID GROUPS, Outer automorphism group, \(\text{II}_{1}\) factor, Physical Sciences, 4904 Pure mathematics, amalgamated free product, deformation/rigidity, Mathematics, Analysis
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