English

Quantum isometries and noncommutative spheres

Operator Algebras 2015-05-13 v1 Quantum Algebra

Abstract

We introduce and study two new examples of noncommutative spheres: the half-liberated sphere, and the free sphere. Together with the usual sphere, these two spheres have the property that the corresponding quantum isometry group is "easy", in the representation theory sense. We present as well some general comments on the axiomatization problem, and on the "untwisted" and "non-easy" case.

Keywords

Cite

@article{arxiv.0905.3814,
  title  = {Quantum isometries and noncommutative spheres},
  author = {Teodor Banica and Debashish Goswami},
  journal= {arXiv preprint arXiv:0905.3814},
  year   = {2015}
}

Comments

16 pages

R2 v1 2026-06-21T13:05:16.772Z