Purely Infinite Simple Ultragraph Leavitt Path Algebras
نویسندگان
چکیده
In this article, we give necessary and sufficient conditions under which the Leavitt path algebra $$L_K(\mathcal {G})$$ of an ultragraph $$\mathcal {G}$$ over a field K is purely infinite simple that it von Neumann regular. Consequently, obtain every graded either locally matricial algebra, or full matrix ring $$K[x, x^{-1}]$$ , algebra.
منابع مشابه
The Matrix Type of Purely Infinite Simple Leavitt Path Algebras
Let R denote the purely infinite simple unital Leavitt path algebra L(E). We completely determine the pairs of positive integers (c, d) for which there is an isomorphism of matrix rings Mc(R) ∼= Md(R), in terms of the order of [1R] in the Grothendieck group K0(R). For a row-finite directed graph E and field k, the Leavitt path algebra Lk(E) has been defined in [1] and [9], and further investiga...
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2021
ISSN: ['1660-5454', '1660-5446']
DOI: https://doi.org/10.1007/s00009-021-01899-y