Given a graded ample, Hausdorff groupoid G, and an involutive field K, we consider the Steinberg algebra AK(G). We obtain necessary and sufficient conditions on G under which the annihilator of any graded ideal of AK(G) is generated by a homogeneous projection. This property is called graded quasi-Baer . We use the Steinberg algebra model to characterize graded quasi-Baer Leavitt path algebras.
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Ahmadi et al. (2024) studied this question.
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