Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:mathematics
gptkb:topology noncommutative geometry operator algebras |
| gptkbp:hasApplication |
geometry of discrete groups
topological rigidity |
| gptkbp:hasCounterexample |
with coefficients (for some groups)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Baum–Connes conjecture
|
| gptkbp:implies |
gptkb:Novikov_conjecture
|
| gptkbp:influencedBy |
gptkb:Atiyah–Singer_index_theorem
|
| gptkbp:proposedBy |
gptkb:Alain_Connes
gptkb:Paul_Baum |
| gptkbp:relatedTo |
gptkb:C*-algebras
gptkb:K-theory group theory assembly map |
| 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 C*-algebra of G is an isomorphism.
|
| gptkbp:status |
open (in general)
proved for some classes of groups |
| gptkbp:yearProposed |
1982
|
| gptkbp:bfsParent |
gptkb:Novikov_conjecture
gptkb:C*-algebra |
| gptkbp:bfsLayer |
5
|