Uniformly Hyperfinite algebras
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:C*-algebra
|
| gptkbp:abbreviation |
UHF algebras
|
| gptkbp:category |
C*-algebra theory
|
| gptkbp:citation |
Glimm, J. (1960). On a certain class of operator algebras. Transactions of the American Mathematical Society, 95(2), 318-340.
|
| gptkbp:class |
supernatural numbers
|
| gptkbp:definedIn |
C*-algebras that are inductive limits of finite-dimensional full matrix algebras
|
| gptkbp:example |
gptkb:CAR_algebra
Glimm algebras |
| gptkbp:hasSubalgebra |
finite-dimensional matrix algebras
|
| https://www.w3.org/2000/01/rdf-schema#label |
Uniformly Hyperfinite algebras
|
| gptkbp:introduced |
gptkb:I._E._Segal
|
| gptkbp:introducedIn |
1940s
|
| gptkbp:property |
simple
nuclear separable approximately finite-dimensional |
| gptkbp:relatedTo |
AF algebras
|
| gptkbp:structure |
inductive limit
|
| gptkbp:studiedIn |
operator algebras
|
| gptkbp:usedIn |
mathematical physics
quantum statistical mechanics |
| gptkbp:bfsParent |
gptkb:UHF-algebras
|
| gptkbp:bfsLayer |
7
|