English

A c*-algebraic framework for quantum groups

Quantum Algebra 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0309338,
  title  = {A c*-algebraic framework for quantum groups},
  author = {T. Masuda and Y. Nakagami and S. L. Woronowicz},
  journal= {arXiv preprint arXiv:math/0309338},
  year   = {2007}
}

Comments

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