A c*-algebraic framework for quantum groups

Details A c*-algebraic framework for quantum groups A c*-algebraic framework for quantum groups

2003-09-20

arxiv.org/abs/math/0309338v1

Mathematics

Quantum Algebra

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

Scientific paper

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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