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

1997/04/22 by Johan Kustermans, Kustermans, Johan · 5 citations
Mathematics · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.funct-an/9704006

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.

Cited by

• Discrete quantum groups and their duals
• Notes on Compact Quantum Groups
• KMS-weights on C*-algebras
• On amenability and co-amenability of algebraic quantum groups and their corepresentations
• Examining the dual of an algebraic quantum group
• Equivariant representation theory for proper actions on discrete spaces

Related

• C^*-algebraic quantum groups arising from algebraic quantum groups
• Locally compact quantum groups in the universal setting
• The analytic structure of an algebraic quantum group
• A natural extension of a left invariant lower semi-continuous weight
• A c*-algebraic framework for quantum groups