Homomorphisms of quantum groups

In this article, we study several equivalent notions of homomorphism between locally compact quantum groups compatible with duality. In particular, we show that our homomorphisms are equivalent to functors between the respective categories of coactions. We lift the reduced bicharacter to universal q...

Authors: Meyer, Ralf
Roy, Sutanu
Woronowicz, Stanislaw Lech
Division/Institute:FB 10: Mathematik und Informatik
Document types:Article
Media types:Text
Publication date:2012
Date of publication on miami:23.10.2012
Modification date:07.05.2015
Source:Münster Journal of Mathematics, 5 (2012), S. 1-24
Edition statement:[Electronic ed.]
DDC Subject:510: Mathematik
License:InC 1.0
Language:English
Format:PDF document
URN:urn:nbn:de:hbz:6-88399662599
Permalink:http://nbn-resolving.de/urn:nbn:de:hbz:6-88399662599
Digital documents:mjm_vol_5_01.pdf

In this article, we study several equivalent notions of homomorphism between locally compact quantum groups compatible with duality. In particular, we show that our homomorphisms are equivalent to functors between the respective categories of coactions. We lift the reduced bicharacter to universal quantum groups for any locally compact quantum group defined by a modular multiplicative unitary, without assuming Haar weights. We work in the general setting of modular multiplicative unitaries.