134 citations · 274 across the 23 of their papers we have counts for
23 papers
The discrete quantum group and its dual
Alfons Van Daele
Discrete quantum groups were introduced as duals of compact quantum groups by Podleś and Woronowicz in 1990. They have been studied intrinsically by Effros and Ruan (1994) and by t…
Multiplier algebras and local units
Alfons Van Daele, Joost Vercruysse
Let be an algebra over any field. We do not assume that has an identity. The \emph{multiplier algebra} is a unital algebra associated to . If we require the produ…
Reflections on the Larson-Sweedler theorem for (weak) multiplier Hopf algebras
Alfons Van Daele
Let be an algebra with identity and a coproduct that admits a counit. If there exist a faithful left integral and a faithful right integral, one can constru…
Finite quantum hypergroups
Magnus B. Landstad, Alfons Van Daele
A finite quantum hypergroup is a finite-dimensional unital algebra over the field of complex numbers. There is a coproduct on , a coassociative map from to …
A class of C*-algebraic locally compact quantum groupoids Part I. Motivation and definition
Byung-Jay Kahng, Alfons Van Daele
In this series of papers, we develop the theory of a class of locally compact quantum groupoids, which is motivated by the purely algebraic notion of weak multiplier Hopf algebras.…
Algebraic quantum groupoids - An example
Alfons Van Daele
Let and be non-degenerate idempotent algebras and assume that is a regular separability idempotent in . Define and …