English

Non existence of group structure on some quantum spaces

Operator Algebras 2011-04-12 v2 Quantum Algebra

Abstract

We prove that some well known compact quantum spaces like quantum tori and some quantum two-spheres do not admit a compact quantum group structure. This is achieved by considering existence of traces, characters and nuclearity of the corresponding C\mathrm{C}^*-algebras.

Keywords

Cite

@article{arxiv.0904.3019,
  title  = {Non existence of group structure on some quantum spaces},
  author = {Piotr M. Soltan},
  journal= {arXiv preprint arXiv:0904.3019},
  year   = {2011}
}

Comments

Short and simple