Uniqueness Theorems and Ideal Structure for Leavitt Path Algebras
| dc.creator | Tomforde, Mark | |
| dc.date | 2006-12-21 | |
| dc.date | 2007-02-27 | |
| dc.date.accessioned | 2026-07-07T07:48:46Z | |
| dc.date.available | 2026-07-07T07:48:46Z | |
| dc.description | We prove Leavitt path algebra versions of the two uniqueness theorems of graph C*-algebras. We use these uniqueness theorems to analyze the ideal structure of Leavitt path algebras and give necessary and sufficient conditions for their simplicity. We also use these results to give a proof of the fact that for any graph E the Leavitt path algebra $L_\mathbb{C}(E)$ embeds as a dense *-subalgebra of the graph C*-algebra C*(E). This embedding has consequences for graph C*-algebras, and we discuss how we obtain new information concerning the construction of C*(E). | |
| dc.description | 34 pages, uses XY-pic. New version comments: Some small typos corrected. This is the final version to appear in the Journal of Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0612628 | |
| dc.identifier | http://arxiv.org/abs/math/0612628 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124615 | |
| dc.subject | Operator Algebras | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W50, 46L55 | |
| dc.title | Uniqueness Theorems and Ideal Structure for Leavitt Path Algebras | |
| dc.type | text |