In double-scaled SYK, state-adapted dressed chord operators change the emergent algebra from Type II1 to Type I∞ and restore purity of KM states, unlike generic operators.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Double-scaled SYK chord algebra is a Type II₁ factor whose empty state is tracial, cyclic, and separating.
citing papers explorer
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Emergent States and Algebras from the Double-Scaling limit of Pure States in SYK
In double-scaled SYK, state-adapted dressed chord operators change the emergent algebra from Type II1 to Type I∞ and restore purity of KM states, unlike generic operators.
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Von Neumann Algebras in Double-Scaled SYK
Double-scaled SYK chord algebra is a Type II₁ factor whose empty state is tracial, cyclic, and separating.