Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589884 | Journal of Functional Analysis | 2015 | 49 Pages |
Abstract
We extend the definition of the bivariant K-theory kkbankkban from plain Banach algebras to Banach algebras equipped with an action of a locally compact Hausdorff group G . We also define a natural transformation from Lafforgue's theory KKGban into the new equivariant theory, overcoming some technical difficulties that are particular to the equivariant case. The categorical framework allows us to systematically define a descent homomorphism and to prove a Green–Julg theorem, a dual version of it and a generalised version that involves the action of a proper G-space. We also include a naïve Poincaré duality theorem.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Walther Paravicini,