The Leavitt path algebra of a graph

• Published in: Journal of algebra Vol. 293; no. 2; pp. 319 - 334
• Main Authors: Abrams, Gene, Aranda Pino, Gonzalo
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.11.2005
• Subjects: Cuntz–Krieger [formula omitted]-algebra; Leavitt algebra; Path algebra; Cuntz–Krieger C ∗ -algebra; Path algebra; Leavitt algebra

For any row-finite graph E and any field K we construct the 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 [I. Raeburn, Graph algebras, in: CBMS Reg. Conf. Ser. Ma...