Every compact group arises as the outer automorphism group of a II₁ factor
classification
🧮 math.OA
keywords
groupautomorphismcompactfactorouterpopaabelianalgebras
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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.
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