Operator Algebras and Mauldin Williams Graphs
| dc.creator | Ionescu, Marius | |
| dc.date | 2004-01-29 | |
| dc.date | 2004-10-22 | |
| dc.date.accessioned | 2026-07-07T05:04:56Z | |
| dc.date.available | 2026-07-07T05:04:56Z | |
| dc.description | We describe a method for associating a $C^{*}$-correspondence to a Mauldin-Williams graph and show that the Cuntz-Pimsner algebra of this $C^{*}$-correspondence is isomorphic to the $C^{*}$-algebra of the underlying graph. In addition, we analyze certain ideals of these $C^{*}$-algebras. We also investigate Mauldin-Williams graphs and fractal $C^{*}$-algebras in the context of the Rieffel metric. This generalizes the work of Pinzari, Watatani and Yonetani. Our main result here is a {}``no go'' theorem showing that such algebras must come from the commutative setting. | |
| dc.description | 14 pages, Latex; Rewrote parts of the introduction and the proof of the first main theorem | |
| dc.identifier | https://arxiv.org/abs/math/0401408 | |
| dc.identifier | http://arxiv.org/abs/math/0401408 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70001 | |
| dc.subject | Operator Algebras | |
| dc.subject | 26A18, 37A55, 37B10, 37E25, 46L08, 46L55, 46L89 | |
| dc.title | Operator Algebras and Mauldin Williams Graphs | |
| dc.type | text |