Equivariant Kasparov Theory and Generalized Homomorphisms |
| |
Authors: | Ralf Meyer |
| |
Affiliation: | (1) SFB 478, Geometrische Strukturen in der Mathematik, Universität Münster, Hittorfstrasse 27, 48149 Münster, Germany |
| |
Abstract: | Let G be a locally compact group. We describe elements of KKG (A, B) by equivariant homomorphisms, following Cuntz's treatment in the non-equivariant case. This yields another proof for the universal property of KKG: It is the universal split exact stable homotopy functor. To describe a Kasparov triple (, , F) for A, B by an equivariant homomorphism, we have to arrange for the Fredholm operator F to be equivariant. This can be done if A is of the form ; and more generally if the group action on A is proper in the sense of Exel and Rieffel. |
| |
Keywords: | Kasparov theory universal property proper group action equivariant stabilization theorem |
本文献已被 SpringerLink 等数据库收录! |
|