Title: Locally compact quantum groups in the Von Neumann algebraic setting
Authors: Kustermans, Johan ×
Vaes, Stefaan #
Issue Date: 2003
Publisher: Matematisk institut
Series Title: Mathematica scandinavica vol:92 issue:1 pages:68-92
Abstract: In this paper we complete in several aspects the picture of locally compact quantum groups. First of all we give a definition of a locally compact quantum group in the von Neumann algebraic setting and show how to deduce from it a C*-algebraic quantum group. Further we prove several results about locally compact quantum groups which are important for applications, but were not yet settled in our paper [8]. We prove a serious strengthening of the left invariance of the Haar weight, and we give several formulas connecting the locally compact quantum group with its dual. Loosely speaking we show how the antipode of the locally compact quantum group determines the modular group and modular conjugation of the dual locally compact quantum group.
ISSN: 0025-5521
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
quantum_ms.pdf Published 570KbAdobe PDFView/Open


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

© Web of science