Simple Lie algebras arising from Steinberg algebras of Hausdorff ample groupoids
نویسندگان
چکیده
In this paper, we identify the fields K and Hausdorff ample groupoids G for which simple Steinberg algebra AK(G) yields a Lie [AK(G),AK(G)]. We apply obtained results to Leavitt path algebras, Kumjian-Pask algebras Exel-Pardo determine when their associated commutator are simple. particular, give easily computable criteria of form [LK(E),LK(E)] simple, E is an arbitrary graph LK(E) Also, obtain that unital central, nonunital have zero center.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.12.014