The Connes-Higson construction is an isomorphism
| dc.creator | Manuilov, V. | |
| dc.creator | Thomsen, K. | |
| dc.date | 2000-04-28 | |
| dc.date | 2001-07-19 | |
| dc.date.accessioned | 2026-07-07T04:34:55Z | |
| dc.date.available | 2026-07-07T04:34:55Z | |
| dc.description | Let $A$ be a separable $C^*$-algebra and $B$ a stable $C^*$-algebra containing a strictly positive element. We show that the group $\Ext(SA,B)$ of unitary equivalence classes of extensions of $SA$ by $B$, modulo the extensions which are asymptotically split, coincides with the group of homotopy classes of such extensions. This is done by proving that the Connes-Higson construction gives rise to an isomorphism between $\Ext(SA,B)$ and the $E$-theory group $E(A,B)$ of homotopy classes of asymptotic homomorphisms from $S^2A$ to $B$. | |
| dc.description | 17 pages, LaTeX, minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0004181 | |
| dc.identifier | http://arxiv.org/abs/math/0004181 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59090 | |
| dc.subject | Operator Algebras | |
| dc.title | The Connes-Higson construction is an isomorphism | |
| dc.type | text |