Study on Leavitt path algebras and associated Grothendieck groups for directed enhanced power graphs
Article Type
Research Article
Publication Title
Journal of Algebra and its Applications
Abstract
In this paper, we define directed enhanced power graphs for finite groups and study some graph-theoretic properties. Moreover, we investigate several algebraic properties of Leavitt path algebras of the directed enhanced power graphs and also of the directed punctured enhanced power graphs. We also compute Grothendieck groups of the Leavitt path algebras of directed punctured enhanced power graphs for cyclic groups and give partial answers to "the algebraic Kirchberg-Phillips question".
DOI
https://10.1142/S0219498825501385
Publication Date
1-1-2023
Recommended Citation
Chakraborty, Bidwan and Debnath, Santanu, "Study on Leavitt path algebras and associated Grothendieck groups for directed enhanced power graphs" (2023). Journal Articles. 3895.
https://digitalcommons.isical.ac.in/journal-articles/3895