Extensions of C*-algebras and translation invariant asymptotic homomorphisms
| dc.creator | Manuilov, V. | |
| dc.creator | Thomsen, K. | |
| dc.date | 2003-10-31 | |
| dc.date.accessioned | 2026-07-07T05:02:25Z | |
| dc.date.available | 2026-07-07T05:02:25Z | |
| dc.description | Let $A$, $B$ be C*-algebras; $A$ separable, $B$ $σ$-unital and stable. We introduce a notion of translation invariance for asymptotic homomorphisms from $SA=C_0(\mathbb R)\otimes A$ to $B$ and show that the Connes-Higson construction applied to any extension of $A$ by $B$ is homotopic to a translation invariant asymptotic homomorphism. In the other direction we give a construction which produces extensions of $A$ by $B$ out of such a translation invariant asymptotic homomorphism. This leads to our main result; that the homotopy classes of extensions coincide with the homotopy classes of translation invariant asymptotic homomorphisms. | |
| dc.description | 22 pages, LaTeX, XYpic | |
| dc.identifier | https://arxiv.org/abs/math/0310492 | |
| dc.identifier | http://arxiv.org/abs/math/0310492 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69041 | |
| dc.subject | Operator Algebras | |
| dc.subject | 19K33 | |
| dc.title | Extensions of C*-algebras and translation invariant asymptotic homomorphisms | |
| dc.type | text |