Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:C*-algebra |
| gptkbp:category |
C*-algebras with nuclearity property
|
| gptkbp:characterizedBy |
every completely positive map into a Hilbert space is approximately factorizable through matrix algebras
unique C*-norm on algebraic tensor product with any other C*-algebra injectivity of the identity map on the minimal tensor product |
| gptkbp:definedIn |
property of C*-algebras
|
| gptkbp:example |
gptkb:AF-algebra
gptkb:commutative_C*-algebra Cuntz algebra O_2 UHF-algebra |
| gptkbp:field |
functional analysis
operator algebras |
| https://www.w3.org/2000/01/rdf-schema#label |
nuclear C*-algebra
|
| gptkbp:importantFor |
gptkb:Elliott_classification_program
classification of C*-algebras |
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:introducedIn |
1950s
|
| gptkbp:property |
closed under extensions
closed under inductive limits closed under quotients closed under subalgebras |
| gptkbp:relatedTo |
tensor product
completely positive map amenable C*-algebra |
| gptkbp:bfsParent |
gptkb:C*-algebra
|
| gptkbp:bfsLayer |
5
|