Abstract
We compute the V-monoid of a weighted Leavitt path algebra of a rowfinite weighted graph, correcting a wrong computation of the V-monoid that exists in the literature. Further we show that the description of K0 of a weighted Leavitt path algebra that exists in the literature is correct (although the computation was based on a wrong V-monoid description).
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G. Abrams, P. Ara and M. Siles Molina, Leavitt Path Algebras, Lecture Notes in Mathematics, Vol. 2191, Springer, 2017.
A. Alahmadi, H. Alsulami, S. Jain and E. Zelmanov, Leavitt path algebras of finite Gelfand-Kirillov dimension, Journal of Algebra and its Applications 11 (2012), article no. 1250225.
G. M. Bergman, Coproducts and some universal ring constructions, Transactions of the American Mathematical Society 200 (1974), 33–88.
R. Hazrat, The graded structure of Leavitt path algebras, Israel Journal of Mathematics 195 (2013), 833–895.
R. Hazrat and R. Preusser, Applications of normal forms for weighted Leavitt path algebras: simple rings and domains, Algebras and Representation Theory 20 (2017), 1061–1083.
R. Preusser, The Gelfand-Kirillov dimension of a weighted Leavitt path algebra, Journal of Algebra and its Applications, https://doi.org/10.1142/S0219498820500590.
R. Preusser, Locally finite weighted Leavitt path algebras, preprint, https://arxiv.org/abs/1806.06139.
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Preusser, R. The V-monoid of a weighted Leavitt path algebra. Isr. J. Math. 234, 125–147 (2019). https://doi.org/10.1007/s11856-019-1915-1
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DOI: https://doi.org/10.1007/s11856-019-1915-1