• Leavitt path algebras of weighted Cayley graphs $C_n (S, w)$

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/131/0017

• # Keywords

Leavitt path algebra; weighted Cayley graph.

• # Abstract

For a postive integer n and a subset $S$ of $\mathbb{Z}_n$, let $\langle S\rangle = \mathbb{Z}_n$, and $w : S \rightarrow \mathbb{N}$ be a function. The weighted Cayley graph of the cyclic group $\mathbb{Z}_n$ with respect to $S$ and $w$ is denoted by $C_n(S, w)$.We give an explicit description of the Grothendieck group ofthe Leavitt path algebras of $C_n(S, w)$.We also give description of Leavitt path algebras of $C_n(S, w)$ in some special cases.

• # Author Affiliations

1. Statistics and Mathematics Unit, Indian Statistical Institute, Bagalore 560 059, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
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Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019