Title: Strictly outer actions of groups and quantum groups
Authors: Vaes, Stefaan # ×
Issue Date: 2005
Publisher: Walter de gruyter & co
Series Title: Journal fur die reine und angewandte mathematik vol:578 pages:147-184
Abstract: An action of a locally compact group or quantum group on a factor is said to be strictly outer when the relative commutant of the factor in the crossed product is trivial. We show that all locally compact quantum groups can act strictly outerly on a free Araki-Woods factor and that all locally compact groups can act strictly outerly on the hyperfinite II1 factor. We define a kind of Connes' T invariant for locally compact quantum groups and prove a link with the possibility of acting strictly outerly on a factor with a given T invariant. Necessary and sufficient conditions for the existence of strictly outer actions of compact Kac algebras on the hyperfinite II1 factor are given.
ISSN: 0075-4102
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

Files in This Item:
File Status SizeFormat
outer.pdf Published 349KbAdobe PDFView/Open


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science