Extreme cycles. The center of a Leavitt path algebra

• Autores: María G. Corrales García, Dolores Martín Barquero , Cándido Martín González , Mercedes Siles Molina , José F. Solanilla Hernández
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 60, Nº 1, 2016, págs. 235-263
• Idioma: inglés
• DOI: 10.5565/10.5565-PUBLMAT 60116 09
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• Resumen

  • 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.