GRADED VERSION OF EXEL’S EFFROS-HAHN CONJECTURE FOR LEAVITT PATH ALGEBRAS
DOI: 10.18173/2354-1059.2022-0020
Keywords:
Chen simple module, Exel’s Effros-Hahn conjecture, graded ample groupoid, primitive ideal, Steinberg algebra.
Abstract
In this paper, we prove a graded version of Exel’s Effros-Hahn conjecture for Leavitt path algebras. More concretely, we show that any graded primitive ideal of the Leavitt path algebra is the annihilator of a module induced from a graded simple module over an isotropy group algebra. A graded version of Steinberg’s results towards Exel’s conjecture in (B. Steinberg, Ideals of etale ´groupoid algebras and Exel’s Effros-Hahn conjecture, J. Noncommut. Geom., Vol. 15, 2021, pp. 829-839) is also obtained for graded ample groupoid algebras.
điểm /
đánh giá
Published
2023-09-20
Section
ARTICLES