A. V. Daele

activity

19982026

most citedNotes on Compact Quantum Groups

134 citations · 274 across the 23 of their papers we have counts for

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8 papers · 1 filter

math.OA2017

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.…

math.OA2007★ 24 cited

Compact and discrete subgroups of algebraic quantum groups I

M. B. Landstad, A. Van Daele

Let $G$ be a locally compact group. Consider the C $^{*}$ -algebra $C_{0} (G)$ of continuous complex functions on $G$ , tending to 0 at infinity. The product in $G$ gives rise to a coprodu…

math.OA2007★ 1 cited

Groups with compact open subgroups and multiplier Hopf $^{*}$ -algebras

Magnus B. Landstad, A. Van Daele

For a locally compact group $G$ we look at the group algebras $C_{0} (G)$ and $C_{r}^{*} (G)$ , and we let $f \in C_{0} (G)$ act on $L^{2} (G)$ by the multiplication operator $M (f)$ . We show among…

math.OA2006★ 10 cited

Multiplier Hopf algebras imbedded in C $^{*}$ -algebraic quantum groups

K. De Commer, A. Van Daele

Let $(A, Δ)$ be a locally compact quantum group and $(A_{0}, Δ_{0})$ a regular multiplier Hopf algebra. We show that if $(A_{0}, Δ_{0})$ can in some sense be imbedded in $(A, Δ)$ , then $A_{0}$ w…

math.OA2004★ 2 cited

Quasi-Discrete Locally Compact Quantum Groups

Alfons Van Daele

Consider a C*-algebra $A$ with a comultiplication $Δ$ . This pair is usually thought of as locally compact quantum semi-group. When these notes were written, in 1993, it was not at…

math.OA2002★ 13 cited

Multiplier Hopf *-algebras with positive integrals: A laboratory for locally compact quantum groups