Semi-invertible extensions and asymptotic homomorphisms
| dc.creator | Manuilov, V. | |
| dc.creator | Thomsen, K. | |
| dc.date | 2003-10-31 | |
| dc.date.accessioned | 2026-07-07T05:02:24Z | |
| dc.date.available | 2026-07-07T05:02:24Z | |
| dc.description | We consider the semigroup $Ext(A,B)$ of extensions of a separable C*-algebra $A$ by a stable C*-algebra $B$ modulo unitary equivalence and modulo asymptotically split extensions. This semigroup contains the group $Ext^{-1/2}(A,B)$ of invertible elements (i.e. of semi-invertible extensions). We show that the functor $Ext^{1/2}(A,B)$ is homotopy invariant and that it coincides with the functor of homotopy classes of asymptotic homomorphisms from $C(\mathbb T)\otimes A$ to $M(B)$ that map $SA\subseteq C(\mathbb T)\otimes A$ into $B$. | |
| dc.description | 31 pages, LaTeX, XYpic | |
| dc.identifier | https://arxiv.org/abs/math/0310491 | |
| dc.identifier | http://arxiv.org/abs/math/0310491 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69040 | |
| dc.subject | Operator Algebras | |
| dc.subject | 19K33 | |
| dc.title | Semi-invertible extensions and asymptotic homomorphisms | |
| dc.type | text |