Purely Infinite Simple Ultragraph Leavitt Path Algebras
2022
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 and that it is von Neumann regular. Consequently, we obtain that every graded simple ultragraph Leavitt path algebra is either a locally matricial algebra, or a full matrix ring over $$K[x, x^{-1}]$$
, or a purely infinite simple algebra.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
16
References
0
Citations
NaN
KQI