A. van Daele

activity

19962024

most citedLocally Compact Quantum Groups. A von Neumann Algebra Approach

72 citations · 139 across the 19 of their papers we have counts for

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Showing 2023Show all

4 papers · 1 filter

math.FA2023

Polynomial functions for locally compact group actions

Magnus B. Landstad, Alfons Van Daele

Consider a locally compact group $G$ and a locally compact space $X$ . A local right action of $G$ on $X$ is a continuous map $(x, p) \mapsto x \cdot p$ from an open subset $Γ$ of the…

math.QA2023

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…

math.QA2023

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 $(a, b) \mapsto ⟨ a, b ⟩$ of regular multiplier Hopf algebras $A$ and $B$ . When $A$ has integrals…

math.QA2023

Algebraic quantum groups and duality I

Alfons Van Daele

Let $(A, Δ)$ be a finite-dimensional Hopf algebra. The linear dual $B$ of $A$ is again a finite-dimensional Hopf algebra. The duality is given by an element $V \in B \otimes A$ , defin…