72 citations · 139 across the 19 of their papers we have counts for
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Algebraic quantum groups III. The modular and the analytic structure
Alfons Van Daele
This is the last part of a series of three papers on the subject. In the first part we have considered the duality of algebraic quantum groups. In that paper, we use the term algeb…
Algebraic quantum groups and duality II. Multiplier Hopf *-algebras with positive integrals
Alfons Van Daele
In the paper Algebraic quantum groups and duality I, we consider a pairing of regular multiplier Hopf algebras and . When has integrals…
Algebraic quantum groups and duality I
Alfons Van Daele
Let be a finite-dimensional Hopf algebra. The linear dual of is again a finite-dimensional Hopf algebra. The duality is given by an element , defin…
Separability idempotents in C*-algebras
Byung-Jay Kahng, Alfons Van Daele
In this paper, we study the notion of a separability idempotent in the C*-algebra framework. This is analogous to the notion in the purely algebraic setting, typically considered i…
Multiplier Hopf algebroids. Basic theory and examples
Thomas Timmermann, Alfons Van Daele
Multiplier Hopf algebroids are algebraic versions of quantum groupoids that generalize Hopf algebroids to the non-unital case and weak (multiplier) Hopf algebras to non-separable b…