The Leavitt path algebra of a graph
| dc.creator | Abrams, G. | |
| dc.creator | Pino, G. Aranda | |
| dc.date | 2005-09-21 | |
| dc.date.accessioned | 2026-07-07T06:18:33Z | |
| dc.date.available | 2026-07-07T06:18:33Z | |
| dc.description | For any row-finite graph $E$ and any field $K$ we construct the {\its Leavitt path algebra} $L(E)$ having coefficients in $K$. When $K$ is the field of complex numbers, then $L(E)$ is the algebraic analog of the Cuntz Krieger algebra $C^*(E)$ described in [8]. The matrix rings $M_n(K)$ and the Leavitt algebras L(1,n) appear as algebras of the form $L(E)$ for various graphs $E$. In our main result, we give necessary and sufficient conditions on $E$ which imply that $L(E)$ is simple. | |
| dc.identifier | https://arxiv.org/abs/math/0509494 | |
| dc.identifier | http://arxiv.org/abs/math/0509494 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94774 | |
| dc.subject | Rings and Algebras | |
| dc.title | The Leavitt path algebra of a graph | |
| dc.type | text |