On a $C^*$-diagonal generated by the toric code

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发表日期：

2026年7月14日

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Danilo Polo Ojito,
Emil Prodan

摘要

We study the abelian sub- $C^*$ $C^{*}$ -algebra of the $2^\infty $ $2^{\infty}$ -UHF algebra generated by the star and face operators of Kitaev’s toric code. We show that it is a $C^*$ $C^{*}$ -diagonal equivalent to the canonical diagonal of $M_{2^\infty }$ $M_{2^{\infty}}$ .

On a \(C^*\)-diagonal generated by the toric code

摘要