type III von Neumann algebra
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:C*-algebra
|
| gptkbp:characterizedBy |
absence of a trace
|
| gptkbp:class |
gptkb:Murray–von_Neumann_classification
|
| gptkbp:hasProperty |
all projections are infinite
no nonzero finite projections |
| https://www.w3.org/2000/01/rdf-schema#label |
type III von Neumann algebra
|
| gptkbp:importantFor |
gptkb:quantum_field_theory
mathematical physics |
| gptkbp:introduced |
gptkb:John_von_Neumann
gptkb:Francis_J._Murray |
| gptkbp:relatedTo |
gptkb:Tomita–Takesaki_theory
|
| gptkbp:studiedBy |
operator algebras
|
| gptkbp:subspecies |
type III_0 von Neumann algebra
type III_1 von Neumann algebra type III_λ von Neumann algebra |
| gptkbp:type |
gptkb:C*-algebra
|
| gptkbp:used_in |
algebraic quantum field theory
|
| gptkbp:bfsParent |
gptkb:C*-algebra
|
| gptkbp:bfsLayer |
5
|