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gptkbp:instanceOf
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gptkb:algebra
gptkb:C*-algebra
|
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gptkbp:alsoKnownAs
|
gptkb:von_Neumann_algebras
|
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gptkbp:application
|
ergodic theory
mathematical physics
quantum mechanics
|
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gptkbp:characterizedBy
|
being a *-algebra of bounded operators on a Hilbert space
closed in the weak operator topology
contains the identity operator
|
|
gptkbp:hasProperty
|
self-adjoint
involutive algebra
possess a predual
unital algebra
|
|
gptkbp:hasSubgroup
|
gptkb:C*-algebras
|
|
gptkbp:hasType
|
gptkb:type_III_von_Neumann_algebra
gptkb:type_II_von_Neumann_algebra
gptkb:type_I_von_Neumann_algebra
factor
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
W*-algebras
|
|
gptkbp:introduced
|
gptkb:John_von_Neumann
|
|
gptkbp:relatedTo
|
gptkb:Tomita–Takesaki_theory
gptkb:double_commutant_theorem
gptkb:quantum_field_theory
gptkb:spectral_theorem
gptkb:K-theory
gptkb:Kaplansky_density_theorem
gptkb:Murray–von_Neumann_classification
gptkb:group_von_Neumann_algebra
gptkb:hyperfinite_factor
gptkb:injective_von_Neumann_algebra
gptkb:GNS_construction
measure theory
noncommutative geometry
representation theory
states
trace
unitary representation
crossed product
modular theory
direct integral decomposition
subfactors
automorphisms
center of an algebra
commutant
projection lattice
standard form
|
|
gptkbp:studiedIn
|
functional analysis
|
|
gptkbp:bfsParent
|
gptkb:Von_Neumann_Algebras
gptkb:von_Neumann_algebras
|
|
gptkbp:bfsLayer
|
7
|