Asymptotic homomorphisms into the Calkin algebra
| dc.creator | Manuilov, V. | |
| dc.date | 2000-02-17 | |
| dc.date.accessioned | 2026-07-07T04:33:56Z | |
| dc.date.available | 2026-07-07T04:33:56Z | |
| dc.description | Let $A$ be a separable $C^*$-algebra and let $B$ be a stable $C^*$-algebra with a strictly positive element. We consider the (semi)group $\Ext^{as}(A,B)$ (resp. $\Ext(A,B)$) of homotopy classes of asymptotic (resp. of genuine) homomorphisms from $A$ to the corona algebra $M(B)/B$ and the natural map $i:\Ext(A,B)\ar\Ext^{as}(A,B)$. We show that if $A$ is a suspension then $\Ext^{as}(A,B)$ coincides with $E$-theory of Connes and Higson and the map $i$ is surjective. In particular any asymptotic homomorphism from $SA$ to $M(B)/B$ is homotopic to some genuine homomorphism. | |
| dc.description | 12 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0002142 | |
| dc.identifier | http://arxiv.org/abs/math/0002142 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58713 | |
| dc.subject | Operator Algebras | |
| dc.title | Asymptotic homomorphisms into the Calkin algebra | |
| dc.type | text |