- journal article metadata
European Mathematical Society Publishing House
2016-10-01 23:45:00
Journal of Noncommutative Geometry
J. Noncommut. Geom.
JNCG
1661-6952
1661-6960
Global analysis, analysis on manifolds
General
10.4171/JNCG
http://www.ems-ph.org/doi/10.4171/JNCG
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
10
2016
3
Quantum group-twisted tensor products of C*-algebras. II
Ralf
Meyer
Georg-August-Universität Göttingen, GÖTTINGEN, GERMANY
Sutanu
Roy
University of Ottawa, OTTAWA, CANADA
Stanisław Lech
Woronowicz
University of Warsaw, WARSAW, POLAND
C*-quantum group, braiding, quantum codouble, semidirect product, bosonisation
For a quasitriangular C*-quantum group, we enrich the twisted tensor product constructed in the first part of this series to a monoidal structure on the category of its continuous coactions on C*-algebras. We define braided C*-quantum groups, where the comultiplication takes values in a twisted tensor product. We show that compact braided C*-quantum groups yield compact quantum groups by a semidirect product construction.
Functional analysis
Category theory; homological algebra
Quantum theory
859
888
10.4171/JNCG/250
http://www.ems-ph.org/doi/10.4171/JNCG/250