Scholarlink

<p>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 <i>L</i>(<i>Ė</i>) of a finitely bi-separated graph <i>Ė</i> = (<i>E, C, D</i>) by introducing the notion of a representation graph for <i>Ė</i>. Among these modules the author finds a class of simple modules. If the bi-separation on <i>E</i> is the Cuntz-Krieger bi-separation (and hence <i>L</i>(<i>Ė</i>) is isomorphic to the usual Leavitt path algebra <i>L</i>(<i>E</i>)), one recovers the celebrated Chen simple modules.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Modules for Leavitt Path Algebras of Bi-separated Graphs via Representation Graphs

  • 期刊论文

  • 发表日期：

    2026年5月20日

查看全文
  • Raimund Preusser

摘要

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(Ė) of a finitely bi-separated graph Ė = (E, C, D) by introducing the notion of a representation graph for Ė. 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(Ė) is isomorphic to the usual Leavitt path algebra L(E)), one recovers the celebrated Chen simple modules.