Open Access
May, 2011 The center of a Leavitt path algebra
Gonzalo Aranda Pino , Kathi Crow
Rev. Mat. Iberoamericana 27(2): 621-644 (May, 2011).


In this paper the center of a Leavitt path algebra is computed for a wide range of situations. A basis as a $K$-vector space is found for $Z(L(E))$ when $L(E)$ enjoys some finiteness condition such as being artinian, semisimple, noetherian and locally noetherian. The main result of the paper states that a simple Leavitt path algebra $L(E)$ is central (i.e. the center reduces to the base field $K$) when $L(E)$ is unital and has zero center otherwise. Finally, this result is extended, under some mild conditions, to the case of exchange Leavitt path algebras.


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Gonzalo Aranda Pino . Kathi Crow . "The center of a Leavitt path algebra." Rev. Mat. Iberoamericana 27 (2) 621 - 644, May, 2011.


Published: May, 2011
First available in Project Euclid: 10 June 2011

zbMATH: 1235.16004
MathSciNet: MR2848533

Primary: 16D70

Keywords: center , graph algebra , Leavitt path algebra

Rights: Copyright © 2011 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.27 • No. 2 • May, 2011
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