Double-scaled SYK chord algebra is a Type II₁ factor whose empty state is tracial, cyclic, and separating.
Maldacena,Non-gaussian features of primordial fluctuations in single field inflationary models,Journal of High Energy Physics2003(2003) 013–013
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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.