Outer automorphism groups and bimodule categories of type II_1 factors

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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Source https://theses.hal.science/tel-00685967
Author Falguières, Sébastien
Maintainer CCSD
Last Updated May 22, 2026, 11:53 (UTC)
Created May 22, 2026, 11:53 (UTC)
Identifier tel-00685967
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Analyse ; Laboratoire de Mathématiques Nicolas Oresme (LMNO) ; Université de Caen Normandie (UNICAEN) ; Normandie Université (NU)-Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS)-Université de Caen Normandie (UNICAEN) ; Normandie Université (NU)-Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS)
creator Falguières, Sébastien
date 2009-06-20T00:00:00
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harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
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metadata_modified 2024-03-21T00:00:00
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