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Habilitation à diriger des recherches
Groupes quantiques localement compacts, actions et extensions
Groupes quantiques localement compacts, actions et extensions
Abstract : We study quantum groups in an operator algebraic framework: the underlying quantum spaces are C*-algebras or von Neumann algebras. We give examples as extensions of groups by group duals. This provides the first examples of non-semi-regular quantum groups. We study outer coactions on factors and in particular on free Araki-Woods factors. We introduce a T invariant for quantum groups and use it to show that certain quantum groups can only coact outerly on factors of type III.
Cited literature [57 references]
https://tel.archives-ouvertes.fr/tel-00007694
Contributor : Stefaan Vaes <>
Submitted on : Thursday, December 9, 2004 - 1:11:39 PM
Last modification on : Wednesday, December 9, 2020 - 3:04:57 PM
Long-term archiving on: : Thursday, September 13, 2012 - 1:30:18 PM
Contributor : Stefaan Vaes <>
Submitted on : Thursday, December 9, 2004 - 1:11:39 PM
Last modification on : Wednesday, December 9, 2020 - 3:04:57 PM
Long-term archiving on: : Thursday, September 13, 2012 - 1:30:18 PM