Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:C*-algebra
|
| gptkbp:category |
gptkb:mathematics
functional analysis operator theory |
| gptkbp:definedIn |
n ≥ 2
|
| gptkbp:generatorCount |
n
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cuntz algebras
|
| gptkbp:introducedIn |
1977
|
| gptkbp:K-theory |
K_0(O_n) = Z/(n-1)Z
K_1(O_n) = 0 |
| gptkbp:loveInterest |
isometries have orthogonal ranges
sum of isometries equals identity |
| gptkbp:namedAfter |
gptkb:Joachim_Cuntz
|
| gptkbp:notation |
O_n
|
| gptkbp:property |
simple
nuclear separable purely infinite |
| gptkbp:relatedTo |
gptkb:C*-algebra
gptkb:Cuntz–Krieger_algebra AF algebra |
| gptkbp:usedIn |
mathematical physics
noncommutative geometry operator algebras |
| gptkbp:bfsParent |
gptkb:C*-algebra_K-theory
|
| gptkbp:bfsLayer |
6
|