Cyclic cohomology and higher indices for noncompact complete manifolds (Q1908110)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Cyclic cohomology and higher indices for noncompact complete manifolds |
scientific article; zbMATH DE number 850617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cyclic cohomology and higher indices for noncompact complete manifolds |
scientific article; zbMATH DE number 850617 |
Statements
Cyclic cohomology and higher indices for noncompact complete manifolds (English)
0 references
10 April 1996
0 references
The author computes the cyclic cohomology of (uniform) Roe algebras associated with noncompact manifolds and identifies it with (uniform) simplicial cohomology with infinite support of Rips' polyhedra associated with a net of the Riemannian manifold. The results have applications in the theory of generalized Dirac operators on noncompact complete Riemannian manifolds.
0 references
\(K\)-theory
0 references
Roe algebras
0 references
Dirac operators
0 references
