Amenability and co-amenability of algebraic quantum groups II

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

paper · pdf · doi:10.48550/arxiv.math/0111026

34 pages

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

Abstract

We continue our study of the concepts of amenability and co-amenability for algebraic quantum groups in the sense of A. Van Daele and our investigation of their relationship with nuclearity and injectivity. One major tool for our analysis is that every non-degenerate *-representation of the universal C*-algebra associated to an algebraic quantum qroup has a unitary generator which may be described in a concrete way.

Citations

• Examining the dual of an algebraic quantum group

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