The universal von Neumann algebra of smooth four-manifolds revisited

DOI10.1090/CONM/798/15983MaRDI QIDQ6494711

Gábor Etesi

Publication date: 30 April 2024

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Quantization of the gravitational field (83C45) Differentiable structures in differential topology (57R55)

Cites Work

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• Gravity as a four dimensional algebraic quantum field theory
• A global uniqueness theorem for stationary black holes
• Embedding Riemannian manifolds by their heat kernel
• Classification of subfactors: The reduction to commuting squares
• The universal von Neumann algebra of smooth four-manifolds
• On the non-existence of regular stationary solutions of relativistic field equations
• Exact Solutions of Einstein's Field Equations
• Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories
• The classification of subfactors of index at most 5
• An algebra of observables for de Sitter space

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