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

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      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

       

      R Mohan1

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

       
  • Proceedings – Mathematical Sciences | News

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