English

A Remark on Quantum Group Actions and Nuclearity

Operator Algebras 2009-11-07 v2 Quantum Algebra

Abstract

Let H be a compact quantum group with faithful Haar measure and bounded counit. If H acts on a C*-algebra A, we show that A is nuclear if and only if its fixed-point subalgebra is nuclear. As a consequence H is a nuclear C*-algebra.

Keywords

Cite

@article{arxiv.math/0204029,
  title  = {A Remark on Quantum Group Actions and Nuclearity},
  author = {S. Doplicher and R. Longo and J. E. Roberts and L. Zsido},
  journal= {arXiv preprint arXiv:math/0204029},
  year   = {2009}
}

Comments

12 pages, LateX 2e