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Outer automorphism groups and bimodule categories of type II_1 factors

Sébastien Falguières 1
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LMNO - Laboratoire de Mathématiques Nicolas Oresme
Abstract : In this thesis we prove that every compact group arises as the outer automorphism goup of a II_1 factor. We also prove that the representation category of every compact group is equivalent to the category of bimodules over a II_1 factor. Several chapters of this thesis recall the main background material needed concerning bimodule categories over II_1 factors and minimal actions of compact groups on II_1 factors.
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Submitted on : Friday, April 6, 2012 - 2:55:04 PM
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Sébastien Falguières. Outer automorphism groups and bimodule categories of type II_1 factors. Operator Algebras [math.OA]. Université Catholique de Louvain, 2009. English. ⟨tel-00685967⟩

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