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

Abstract

In this paper, we construct a universal C*-algebraic quantum group out of an algebraic one. We show that this universal C*-algebraic quantum group has the same rich structure as its reduced companion. This universal C*-algebraic quantum group also satifies an upcoming definition of Masuda, Nakagami & Woronowicz except for the possible non-faithfulness of the left Haar weight.

LaTeX, 59 pages

References in corpus (2)

• Examining the dual of an algebraic quantum group
• A natural extension of a left invariant lower semi-continuous weight

Cited by in corpus (8)

• Notes on Compact Quantum Groups
• CCAP for universal discrete quantum groups
• KMS-weights on C*-algebras
• The Haar measure on some locally compact quantum groups
• The analytic structure of an algebraic quantum group
• Examining the dual of an algebraic quantum group
• Amenability and co-amenability of algebraic quantum groups
• On amenability and co-amenability of algebraic quantum groups and their corepresentations