Centers of Leavitt path algebras and their completions. (English) Zbl 1367.16029
Summary: In [Publ. Mat., Barc. 60, No. 1, 235–263 (2016; Zbl 1350.16005); “Centers of path algebras, Cohn and Leavitt path algebras”, Bull. Malay. Math. Sci. Soc., 1–23 (2015); doi:10.1007/s40840-015-0214-1)], M. G. Corrales García et al. 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.
MSC:
| 16S99 | Associative rings and algebras arising under various constructions |
Keywords:
Leavitt path algebraCitations:
Zbl 1350.16005References:
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