On amenability and co-amenability of algebraic quantum groups and their corepresentations

2001/11/02 by E. Bedos, Erik Bédos, Bedos, E. +6
Mathematics · #22D25 #46L05 #46L65 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #math.OA #msc:22D25 #msc:46L05 #msc:46L65

paper · pdf · doi:10.48550/arxiv.math/0111027

46 pages, (some misprints corrected, a couple of remarks and a new reference added)

openalex publication_date 2001/11/02 · arxiv created 2001/11/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce and study several amenability properties for unitary corepresentations and *-representations of algebraic quantum groups, which may be used to characterize amenability or co-amenability of such groups. As a background for this study, we also investigate the involved tensor C*-categories.

Citations

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

Related

• Amenability and co-amenability of algebraic quantum groups II
• Amenability and co-amenability of algebraic quantum groups
• A c*-algebraic framework for quantum groups
• Representations of algebraic quantum groups and reconstruction theorems for tensor categories
• Universal C*-algebraic quantum groups arising from algebraic quantum groups