Inductive Limits of Subhomogeneous $C^*$-algebras with Hausdorff Spectrum
| dc.creator | Lin, Huaxin | |
| dc.date | 2008-09-30 | |
| dc.date | 2008-11-21 | |
| dc.date.accessioned | 2026-07-07T10:19:39Z | |
| dc.date.available | 2026-07-07T10:19:39Z | |
| dc.description | We consider unital simple inductive limits of generalized dimension drop C*-algebras They are so-called ASH-algebras and include all unital simple AH-algebras and all dimension drop $C^*$-algebras. Suppose that $A$ is one of these C*-algebras. We show that $A\otimes Q$ has tracial rank no more than one, where $Q$ is the rational UHF-algebra. As a consequence, we obtain the following classification result: Let $A$ and $B$ be two unital simple inductive limits of generalized dimension drop algebras with no dimension growth. Then $A\cong B$ if and only if they have the same Elliott invariant. | |
| dc.identifier | https://arxiv.org/abs/0809.5273 | |
| dc.identifier | http://arxiv.org/abs/0809.5273 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174589 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L05, 46L80 | |
| dc.title | Inductive Limits of Subhomogeneous $C^*$-algebras with Hausdorff Spectrum | |
| dc.type | text |