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arXiv · 2405.02997

Graded quasi-Baer $\ast$-ring characterization of Steinberg algebras

Morteza Ahmadi·Ahmad Moussavi
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Abstract

Given a graded ample, Hausdorff groupoid $G$, and an involutive field $K$, we consider the Steinberg algebra $A_K(G)$. We obtain necessary and sufficient conditions on $G$ under which the annihilator of any graded ideal of $A_K(G)$ is generated by a homogeneous projection. This property is called graded quasi-Baer $\ast$. We use the Steinberg algebra model to characterize graded quasi-Baer $\ast$ Leavitt path algebras.

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Morteza Ahmadi, Ahmad Moussavi. 2024-05-05. Graded quasi-Baer $\ast$-ring characterization of Steinberg algebras. https://arxiv.org/abs/2405.02997

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