Every compact group arises as the outer automorphism group of a II_1 factor

Details Every compact group arises as the outer automorphism group of a II_1 factor Every compact group arises as the outer automorphism group of a II_1 factor

2007-05-10

arxiv.org/abs/0705.1420v2

Journal of Functional Analysis, vol. 254 (2008), 2317--2328.

Mathematics

Operator Algebras

Minor misprints corrected, final version

Scientific paper

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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