13 citations · 19 across the 4 of their papers we have counts for
7 papers
Quasi-Discrete Locally Compact Quantum Groups
Alfons Van Daele
Consider a C*-algebra with a comultiplication . This pair is usually thought of as locally compact quantum semi-group. When these notes were written, in 1993, it was not at…
Group-cograded multiplier Hopf (*-)algebras
A. T. Abd El-hafez, L. Delvaux, A. Van Daele
Let be a group and assume that is a family of algebras with identity. We have a {\it Hopf -coalgebra} (in the sense of Turaev) if, for each pair ,…
Multiplier Hopf *-algebras with positive integrals: A laboratory for locally compact quantum groups
Alfons Van Daele
Any multiplier Hopf *-algebra} with positive integrals gives rise to a locally compact quantum group (in the sense of Kustermans and Vaes). As a special case of such a situation, w…
The multiplicative unitary as a basis for duality
Ann Maes, Alfons Van Daele
The classical duality theory associates to an abelian group a dual companion. Passing to a non-abelian group, a dual object can still be defined, but it is no longer a group. The s…
The Haar measure on some locally compact quantum groups
Alfons Van Daele
The Haar measure on some locally compact quantum groups is constructed. The main example we treat is the az+b-group of Woronowicz. We also briefly consider some other examples (lik…
Notes on Compact Quantum Groups
Ann Maes, Alfons Van Daele
We have written down a set of notes on compact quantum groups from which all the different aspects can be learned in an easy way and such that a lot of insight can be obtained with…