Examining the dual of an algebraic quantum group

Abstract

In the first part of this paper, we implement the multiplier algebra of the dual of an algebraic quantum group (A,Delta) as a space of linear functionals on A. In the second part, we construct the universal corepresentation of (A,Delta) and use it to prove a bijective correspondence between corepresentations of (A,Delta) and homomorphisms on the dual.

LaTeX, 28 pages

References in corpus (1)

• Universal C*-algebraic quantum groups arising from algebraic quantum groups

Cited by in corpus (4)

• Universal C*-algebraic quantum groups arising from algebraic quantum groups
• The analytic structure of an algebraic quantum group
• Amenability and co-amenability of algebraic quantum groups II
• Representations of algebraic quantum groups and reconstruction theorems for tensor categories