On an intermediate bivariant theory for $C^*$-algebras, I
| dc.creator | Dumitraşcu, Constantin Dorin | |
| dc.date | 2002-11-10 | |
| dc.date.accessioned | 2026-07-07T04:52:49Z | |
| dc.date.available | 2026-07-07T04:52:49Z | |
| dc.description | We construct a new bivariant theory, that we call $KE$-theory, which is intermediate between the $KK$-theory of G. G. Kasparov, and the $E$-theory of A. Connes and N. Higson. For each pair of separable graded $C^*$-algebras $A$ and $B$, acted upon by a locally compact $σ$-compact group $G$, we define an abelian group $KE_G(A,B)$. We show that there is an associative product $KE_G(A,D) \otimes KE_G(D,B) \to KE_G(A,B)$. Various functoriality properties of the $KE$-theory groups and of the product are presented. The new theory has a simpler product than $KK$-theory and there are natural transformations $KK_G \to KE_G$ and $KE_G \to E_G$. The complete description of these maps will form the substance of a second paper. | |
| dc.description | 44 pages | |
| dc.identifier | https://arxiv.org/abs/math/0211160 | |
| dc.identifier | http://arxiv.org/abs/math/0211160 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65609 | |
| dc.subject | Operator Algebras | |
| dc.subject | 19K35; 46L80, 46L85 | |
| dc.title | On an intermediate bivariant theory for $C^*$-algebras, I | |
| dc.type | text |