Partial dynamical systems and AF C*-algebras
| dc.creator | Peters, Justin R. | |
| dc.creator | Zerr, Ryan J. | |
| dc.date | 2003-01-28 | |
| dc.date.accessioned | 2026-07-07T04:54:45Z | |
| dc.date.available | 2026-07-07T04:54:45Z | |
| dc.description | We obtain a characterization in terms of dynamical systems of those r-discrete groupoids for which the groupoid C*-algebra is approximately finite-dimensional (AF). These ideas are then used to compute the K-theory for AF algebras by utilizing the actions of these partial homeomorphisms, and these K-theoretic calculations are applied to some specific examples of AF algebras. Finally, we show that, for a certain class of dimension groups, a groupoid can be obtained directly from the dimension group's structure whose associated C*-algebra has K_0 group isomorphic to the original dimension group. | |
| dc.description | submitted to the Houston Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0301337 | |
| dc.identifier | http://arxiv.org/abs/math/0301337 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66379 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L40; 46L80; 37A55 | |
| dc.title | Partial dynamical systems and AF C*-algebras | |
| dc.type | text |