Semiclassical crossed product constructions extend the algebraic reconstruction theorem to type III algebras and yield an algebraic Ryu-Takayanagi formula for holographic duality.
Araki,Type of von Neumann Algebra Associated with Free Field,Prog
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Semiclassical algebraic reconstruction for type III algebras
Semiclassical crossed product constructions extend the algebraic reconstruction theorem to type III algebras and yield an algebraic Ryu-Takayanagi formula for holographic duality.