English

On a C*-Diagonal Generated by the Toric Code

Operator Algebras 2026-01-22 v2 Strongly Correlated Electrons Mathematical Physics math.MP

Abstract

We study the abelian sub-C*-algebra of the CAR algebra generated by the start and face opertors of Kitaev's toric code. We show that it is a C*-diagonal equivalent to the canonical diagonal of the CAR algebra.

Cite

@article{arxiv.2601.11511,
  title  = {On a C*-Diagonal Generated by the Toric Code},
  author = {Danilo Polo Ojito and Emil Prodan},
  journal= {arXiv preprint arXiv:2601.11511},
  year   = {2026}
}
R2 v1 2026-07-01T09:07:57.959Z