Structure and Isomorphism Classification of Compact Quantum Groups A_u(Q) and B_u(Q)

Shuzhou Wang

Structure and Isomorphism Classification of Compact Quantum Groups A_u(Q) and B_u(Q)

Operator Algebras 2007-05-23 v2 Quantum Algebra

Authors: Shuzhou Wang

Abstract

We classify the compact quantum groups $A_u(Q)$ (resp. $B_u(Q)$ ) up to isomorphism when $Q>0$ (resp. when $Q \bar{Q} \in {\mathbb R} I_n$ ). We show that the general $A_u(Q)$ 's and $B_u(Q)$ 's for arbitrary $Q$ have explicit decompositions into free products of these special $A_u(Q)$ 's and $B_u(Q)$ 's.

Keywords

quantum groups topological groups group theory

Cite

@article{arxiv.math/9807095,
  title  = {Structure and Isomorphism Classification of Compact Quantum Groups A_u(Q) and B_u(Q)},
  author = {Shuzhou Wang},
  journal= {arXiv preprint arXiv:math/9807095},
  year   = {2007}
}

Comments

13 pages. To appear in Journal of Operator Theory. Details left out in the original version are filled in

Structure and Isomorphism Classification of Compact Quantum Groups A_u(Q) and B_u(Q)

Abstract

Keywords

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