Approximately finite-dimensional algebras

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:C*-algebra
gptkbp:abbreviation AF algebra
gptkbp:category C*-algebra theory
gptkbp:characterizedBy gptkb:Bratteli_diagram
gptkbp:definedIn direct limit of finite-dimensional C*-algebras
gptkbp:example UHF algebra of type 2^∞
algebra of compact operators on a separable Hilbert space
gptkbp:field gptkb:mathematics
operator algebras
gptkbp:hasKTheory ordered K_0 group
https://www.w3.org/2000/01/rdf-schema#label Approximately finite-dimensional algebras
gptkbp:introduced Olof Bratteli
gptkbp:introducedIn 1972
gptkbp:property nuclear
separable
simple (in some cases)
gptkbp:relatedTo gptkb:Cuntz_algebra
gptkb:UHF_algebra
gptkbp:usedIn classification of C*-algebras
gptkbp:bfsParent gptkb:AF-algebras
gptkbp:bfsLayer 7