Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
pairs of C*-algebras
|
| gptkbp:category |
gptkb:bivariant_K-theory
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:generalizes |
gptkb:K-theory
gptkb:K-homology |
| gptkbp:hasSubfield |
noncommutative geometry
operator algebras |
| https://www.w3.org/2000/01/rdf-schema#label |
KK-theory
|
| gptkbp:importantFor |
classification of C*-algebras
noncommutative topology |
| gptkbp:introducedIn |
1980
|
| gptkbp:inventedBy |
gptkb:Gennadi_Kasparov
|
| gptkbp:notation |
KK(A,B)
|
| gptkbp:operator |
Kasparov product
|
| gptkbp:provides |
bivariant functor
|
| gptkbp:relatedTo |
gptkb:K-theory
gptkb:K-homology |
| gptkbp:studies |
gptkb:C*-algebras
|
| gptkbp:usedIn |
gptkb:Baum–Connes_conjecture
index theory |
| gptkbp:bfsParent |
gptkb:K-theory_of_operator_algebras
gptkb:Topological_K-theory gptkb:C*-algebra_K-theory gptkb:Kasparov_KK-theory gptkb:operator_K-theory |
| gptkbp:bfsLayer |
6
|