4 papers
Discrete quantum groups and their duals
Alfons Van Daele
Discrete quantum groups were introduced as duals of compact quantum groups by Podleś and Woronowicz in 1990. Shortly after, they were defined and studied intrinsically by Effros an…
From Hopf algebras to topological quantum groups. A short history, various aspects and some problems
Alfons Van Daele
Quantum groups have been studied within several areas of mathematics and mathematical physics. This has led to different approaches, each of them with their own techniques and conv…
The Drinfel'd double for group-cograded multiplier Hopf algebras
L. Delvaux, A. Van Daele
Let be any group and let denote the multiplier Hopf algebra of complex functions with finite support in . The product in is pointwise. The comultiplication on…
Hopf C*-algebras
Stefaan Vaes, Alfons Van Daele
In this paper we introduce the notion of a Hopf C*-algebra and construct the counit and antipode. A Hopf C*-algebra is a C*-algebra with comultiplication satisfying some extra cond…