Amenability of Hopf C^*-algebras

1999/06/08 by Chi–Keung Ng, Chi-Keung Ng, Ng, Chi-Keung
Mathematics · #43A07 (Secondary) #46L05 #46L55 (Primary) #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:43A07 #msc:46L05 #msc:46L55

paper · pdf · doi:10.48550/arxiv.math/9906051

some changes in major terminology to avoid confusion

openalex publication_date 1999/06/08 · arxiv created 1999/10/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Three natural definitions for amenability of general Hopf C^*-algebras (all of them being generalizations of the case of locally compact groups) were given and the relations between them were studied. Moreover, amenability in the situation of duality of Hopf C^*-algebras was also studied.

Related

• Hopf C*-algebras
• Duality of Hopf C^*-algebras
• Amenability and weak containment for actions of locally compact groups\n on C^*-algebras
• Ideal and weak Amenability of Fréchet locally C^*-algebra
• Cohomology of Hopf C^*-algebras and Hopf von Neumann algebras