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.

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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