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| Modules for Leavitt Path Algebras of Bi-separated Graphs via Representation Graphs |
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Citation： |
Raimund PREUSSER.Modules for Leavitt Path Algebras of Bi-separated Graphs via Representation Graphs[J].Chinese Annals of Mathematics B,2026,(4):649~674 |
| Page view： 201
Net amount： 127 |
Authors： |
Raimund PREUSSER; |
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| Abstract： |
Leavitt path algebras of bi-separated graphs have been recently introduced
by Mohan and Suhas. These algebras provide a common framework for studying various
generalisations of Leavitt path algebras. In this paper, the author obtains modules for the
Leavitt path algebra L(E˙ ) of a finitely bi-separated graph E˙ = (E, C, D) by introducing
the notion of a representation graph for E˙ . Among these modules the author finds a class
of simple modules. If the bi-separation on E is the Cuntz-Krieger bi-separation (and hence
L(E˙ ) is isomorphic to the usual Leavitt path algebra L(E)), one recovers the celebrated
Chen simple modules. |
Keywords： |
Leavitt path algebra Bi-separated graph Simple modules |
Classification： |
16S88, 16D70 |
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