English

Type of local von Neumann algebras in abelian quantum double model

Mathematical Physics 2022-12-20 v1 math.MP

Abstract

We show that the local von Neumann algebras on convex areas of the frustration-free ground state of abelian quantum double models are of type IIII_\infty.

Keywords

Cite

@article{arxiv.2212.09036,
  title  = {Type of local von Neumann algebras in abelian quantum double model},
  author = {Yoshiko Ogata},
  journal= {arXiv preprint arXiv:2212.09036},
  year   = {2022}
}