Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:mathematics
gptkb:topology noncommutative geometry operator algebras |
| gptkbp:hasCounterexample |
with coefficients
|
| https://www.w3.org/2000/01/rdf-schema#label |
Baum-Connes conjecture
|
| gptkbp:implies |
gptkb:Novikov_conjecture
|
| gptkbp:proposedBy |
gptkb:Alain_Connes
gptkb:Paul_Baum |
| gptkbp:relatedTo |
gptkb:C*-algebras
gptkb:K-theory gptkb:Farrell-Jones_conjecture group theory index theory topological K-theory assembly map noncommutative topology group C*-algebra |
| gptkbp:sentence |
The assembly map from the equivariant K-homology of the classifying space for proper actions of a group G to the K-theory of the reduced group C*-algebra of G is an isomorphism.
|
| gptkbp:status |
open (in general)
proven for some classes of groups |
| gptkbp:yearProposed |
1982
|
| gptkbp:bfsParent |
gptkb:K-theory_of_C*-algebras
gptkb:C*-algebra_K-theory gptkb:Kasparov_KK-theory gptkb:operator_K-theory gptkb:reduced_group_C*-algebra |
| gptkbp:bfsLayer |
6
|