Resumen de Extreme cycles. The center of a Leavitt path algebra
María G. Corrales García, Dolores Martín Barquero, Cándido Martín González, Mercedes Siles Molina, José F. Solanilla Hernández
In this paper we introduce new techniques in order to deepen into the structure of a Leavitt path algebra with the aim of giving a description of the center. Extreme cycles appear for the first time; they concentrate the purely infinite part of a Leavitt path algebra and, jointly with the line points and vertices in cycles without exits, are the key ingredients in order to determine the center of a Leavitt path algebra. Our work will rely on our previous approach to the center of a prime Leavitt path algebra.
