Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:C*-algebra
|
| gptkbp:characterizedBy |
all irreducible representations are of type I
|
| gptkbp:contains |
commutative C*-algebras
algebras of compact operators finite-dimensional C*-algebras |
| gptkbp:contrastsWith |
gptkb:type_III_C*-algebra
gptkb:type_II_C*-algebra |
| gptkbp:definedIn |
Murray-von Neumann classification
|
| gptkbp:example |
C(X) for compact Hausdorff space X
B(H) for separable Hilbert space H |
| gptkbp:hasProperty |
direct integral decomposition into factors
primitive ideal space is T0 |
| https://www.w3.org/2000/01/rdf-schema#label |
type I C*-algebra
|
| gptkbp:relatedTo |
gptkb:C*-algebra
|
| gptkbp:studiedBy |
gptkb:C*-algebra
|
| gptkbp:subclassOf |
gptkb:C*-algebra
|
| gptkbp:bfsParent |
gptkb:C*-algebra
|
| gptkbp:bfsLayer |
5
|