Full extensions and approximate unitary equivalences
| dc.creator | Lin, Huaxin | |
| dc.date | 2004-01-19 | |
| dc.date.accessioned | 2026-07-07T05:04:41Z | |
| dc.date.available | 2026-07-07T05:04:41Z | |
| dc.description | Let $A$ be a unital separable amenable \CA and $C$ be a unital \CA with certain infinite property. We show that two full monomorphisms $h_1, h_2: A\to C$ are approximately unitarily equivalent if and only if $[h_1]=[h_2]$ in $KL(A,C).$ Let $B$ be a non-unital but $σ$-unital \CA for which $M(B)/B$ has the certain infinite property. We prove that two full essential extensions are approximately unitarily equivalent if and only if they induce the same element in $KL(A, M(B)/B).$ The set of approximately unitarily equivalence classes of full essential extensions forms a group. If $A$ satisfies the Universal Coefficient Theorem, it is can be identified with $KL(A, M(B)/B).$ | |
| dc.identifier | https://arxiv.org/abs/math/0401242 | |
| dc.identifier | http://arxiv.org/abs/math/0401242 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69898 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05; 46L35 | |
| dc.title | Full extensions and approximate unitary equivalences | |
| dc.type | text |