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Theses
Outer automorphism groups and bimodule categories of type II_1 factors
Outer automorphism groups and bimodule categories of type II_1 factors
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.
Cited literature [56 references]
https://tel.archives-ouvertes.fr/tel-00685967
Contributor : Sébastien Falguières <>
Submitted on : Friday, April 6, 2012 - 2:55:04 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM
Long-term archiving on: : Saturday, July 7, 2012 - 2:37:12 AM
Contributor : Sébastien Falguières <>
Submitted on : Friday, April 6, 2012 - 2:55:04 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM
Long-term archiving on: : Saturday, July 7, 2012 - 2:37:12 AM