AF-embedding of the crossed products of AH-algebras by finitely generated abelian groups
| dc.creator | Lin, Huaxin | |
| dc.date | 2007-06-15 | |
| dc.date | 2007-06-17 | |
| dc.date.accessioned | 2026-07-07T08:10:23Z | |
| dc.date.available | 2026-07-07T08:10:23Z | |
| dc.description | Let $X$ be a compact metric space and let $Λ$ be a $\Z^k$ ($k\ge 1$) action on $X.$ We give a solution to a version of Voiculescu's problem of AF-embedding: The crossed product $C(X)\rtimes_Λ\Z^k$ can be embedded into a unital simple AF-algebra if and only if $X$ admits a strictly positive $Λ$-invariant Borel probability measure. Let $C$ be a unital AH-algebra, let $G$ be a finitely generated abelian group and let $Λ: G\to Aut(C)$ be a monomorphism. We show that $C\rtimes_Λ G$ can be embedded into a unital simple AF-algebra if and only if $C$ admits a faithful $Λ$-invariant tracial state. | |
| dc.description | 46 pages | |
| dc.identifier | https://arxiv.org/abs/0706.2229 | |
| dc.identifier | http://arxiv.org/abs/0706.2229 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131810 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L05, 46L35 | |
| dc.title | AF-embedding of the crossed products of AH-algebras by finitely generated abelian groups | |
| dc.type | text |