Showing 2026Show all
2 papers · 1 filter
math-ph2026
The Full Set of KMS-States for Abelian Kitaev Models
Danilo Polo Ojito, Emil Prodan
We first prove that the subalgebra generated by the vertex and face operators of an abelian Kitaev model is a -diagonal of the UHF algebra of qu…
math.OA2026
On a C*-Diagonal Generated by the Toric Code
Danilo Polo Ojito, Emil Prodan
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…