A c*-algebraic framework for quantum groups

2003/09/20 by Tetsuya Masuda, T. Masuda, Y. Nakagami +5 · 2 citations
Mathematics · #20G42 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:20G42

paper · pdf · doi:10.48550/arxiv.math/0309338

66 pages, no figures LaTeX2e. Accepted to be published by International Journal of Mathematics

arxiv created 2003/09/20 · openalex publication_date 2003/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a general framework to deal with the unitary representations of quantum groups using the language of C*-algebras. Using this framework, we prove that the duality holds in a general context. This extends the framework of the duality theorem using the language of von Neumann algebras previously developed by Masuda and Nakagami.

Cited by

• Discrete quantum groups and their duals
• The standard construction for cocycle twisted and braided tensor product W^*-algebras

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