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gptkbp:instanceOf
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Mathematical structure
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gptkbp:alsoKnownAs
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W*-algebra
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gptkbp:application
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gptkb:quantum_field_theory
gptkb:Quantum_mechanics
Noncommutative geometry
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gptkbp:definedIn
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*-algebra of bounded operators on a Hilbert space closed in weak operator topology and containing the identity operator
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gptkbp:field
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gptkb:Operator_algebras
Functional analysis
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gptkbp:hasApplication
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gptkb:Statistical_mechanics
gptkb:Noncommutative_probability
gptkb:Quantum_information_theory
Ergodic theory
Mathematical physics
Subfactor theory
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gptkbp:hasInvariant
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gptkb:Modular_theory
Center
Trace
Dimension function
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gptkbp:hasProperty
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Closed in weak operator topology
Closed under adjoint
Contains identity operator
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gptkbp:hasSubfield
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Finite von Neumann algebra
Infinite von Neumann algebra
Type I factor
Type III factor
Type II_1 factor
Type II_∞ factor
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gptkbp:hasSubgroup
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gptkb:C*-algebra
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gptkbp:hasType
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Factor
Type I algebra
Type II algebra
Type III algebra
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https://www.w3.org/2000/01/rdf-schema#label
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Von Neumann Algebra
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gptkbp:introducedIn
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1930s
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gptkbp:namedAfter
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gptkb:John_von_Neumann
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gptkbp:relatedConcept
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gptkb:Tomita–Takesaki_theory
gptkb:Double_commutant_theorem
gptkb:Modular_automorphism_group
gptkb:Murray–von_Neumann_classification
Trace
Projection
Commutant
Predual
Hyperfinite factor
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gptkbp:studiedBy
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gptkb:John_von_Neumann
gptkb:Francis_J._Murray
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gptkbp:bfsParent
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gptkb:C*-algebra
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gptkbp:bfsLayer
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5
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