Regularity properties in the classification program for separable amenable C*-algebras
| dc.creator | Elliott, George A. | |
| dc.creator | Toms, Andrew S. | |
| dc.date | 2007-04-13 | |
| dc.date | 2007-08-22 | |
| dc.date.accessioned | 2026-07-07T08:24:32Z | |
| dc.date.available | 2026-07-07T08:24:32Z | |
| dc.description | We report on recent progress in the program to classify separable amenable C*-algebras. Our emphasis is on the newly apparent role of regularity properties such as finite decomposition rank, strict comparison of positive elements, and Z-stability, and on the importance of the Cuntz semigroup. We include a brief history of the program's successes since 1989, a more detailed look at the Villadsen-type algebras which have so dramatically changed the landscape, and a collection of announcements on the structure and properties of the Cuntz semigroup. | |
| dc.description | 19 pages, to appear in Bull. AMS, April 2008 | |
| dc.identifier | https://arxiv.org/abs/0704.1803 | |
| dc.identifier | http://arxiv.org/abs/0704.1803 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136372 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L35; 46L80 | |
| dc.title | Regularity properties in the classification program for separable amenable C*-algebras | |
| dc.type | text |