Weighted Leavitt path algebras of finite Gelfand-Kirillov dimension

2018/04/24 by Preusser, Raimund
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1804.09287

Abstract

We determine the Gelfand-Kirillov dimension of a weighted Leavitt path algebra L_K(E,w) where K is a field and (E,w) a finite weighted graph. Further we show that a finite-dimensional weighted Leavitt path algebra over a field K is isomorphic to a finite product of matrix rings over K.

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• Weighted Leavitt path algebras that are isomorphic to unweighted Leavitt\n path algebras
• Leavitt path algebras of hypergraphs
• Locally finite weighted Leavitt path algebras
• Leavitt path algebras satisfying a polynomial identity
• Leavitt Path Algebras of Finite Gelfand-Kirillov Dimension