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arXiv · 1507.07439

Centers of Leavitt path algebras and their completions

Adel Alahmadi·Hamed Alsulami
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Abstract

In [8, 9] M. G. Corrales Garcia, D. M. Barquero, C. Martin Gonzalez, M. Siles Molina, J. F Solanilla Hernandez described the center of a Leavitt path algebra and characterized it in terms of the underlying graph. We offer a different characterization of the center. In particular, we prove that the Boolean algebra of central idempotents \ of a Leavitt path algebra of a finite graph is isomorphic to the Boolean algebra of finitary annihilator hereditary subsets of the graph.

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Adel Alahmadi, Hamed Alsulami. 2015-11-04. Centers of Leavitt path algebras and their completions. https://arxiv.org/abs/1507.07439

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