Monoidal Rigidity for Free Wreath Products

Pierre Fima; Lorenzo Pittau

Monoidal Rigidity for Free Wreath Products

Quantum Algebra 2016-04-06 v1 Operator Algebras

Authors: Pierre Fima , Lorenzo Pittau

Abstract

In this note we observe that any compact quantum group monoidally equivalent, in a nice way, to a free wreath product of a compact quantum group $G$ by the quantum automorphism group of a finite dimensional C*-algebra with a $\delta$ -form is actually isomorphic to a free wreath product of $G$ by the quantum automorphism group of another finite dimensional C*-algebra with a $\delta$ -form.

Keywords

c*-algebra c*-algebras automorphism groups

Cite

@article{arxiv.1604.01236,
  title  = {Monoidal Rigidity for Free Wreath Products},
  author = {Pierre Fima and Lorenzo Pittau},
  journal= {arXiv preprint arXiv:1604.01236},
  year   = {2016}
}