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arxiv: math/0309338 · v1 · submitted 2003-09-20 · 🧮 math.QA

A c*-algebraic framework for quantum groups

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keywords frameworkalgebrasdualitygeneralgroupslanguagequantumalgebraic
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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.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model

    math-ph 2025-12 unverdicted novelty 8.0

    The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.