Abstract
We define Leavitt path algebras of hypergraphs generalizing simultaneously Leavitt path algebras of separated graphs and Leavitt path algebras of vertex-weighted graphs (i.e. weighted graphs that have the property that any two edges emitted by the same vertex have the same weight). We investigate the Leavitt path algebras of hypergraphs in terms of linear bases, Gelfand–Kirillov dimension, ring-theoretic properties (e.g. simplicity, von Neumann regularity and Noetherianess), K-theory and graded K-theory. By doing so we obtain new results on the Gelfand–Kirillov dimension and graded K-theory of Leavitt path algebras of separated graphs and on the graded K-theory of Leavitt path algebras of vertex-weighted graphs.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Bulletin of the Brazilian Mathematical Society, New Series
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.