Leavitt path algebras of Cayley graphs arising from cyclic groups

Gene Abrams; Benjamin Schoonmaker

Leavitt path algebras of Cayley graphs arising from cyclic groups

Rings and Algebras 2013-10-25 v1

Authors: Gene Abrams , Benjamin Schoonmaker

Abstract

For any positive integer $n$ we describe the Leavitt path algebra of the Cayley graph $C_n$ corresponding to the cyclic group $\Z/n\Z$ . Using a Kirchberg-Phillips-type realization result, we show that there are exactly four isomorphism classes of such Leavitt path algebras, arising as the algebras corresponding to the graphs $C_i$ ( $3\leq i \leq 6$ ).

Keywords

Leavitt path algebras Cayley graphs cyclic groups isomorphism classes Kirchberg-Phillips realization

Cite

@article{arxiv.1310.6648,
  title  = {Leavitt path algebras of Cayley graphs arising from cyclic groups},
  author = {Gene Abrams and Benjamin Schoonmaker},
  journal= {arXiv preprint arXiv:1310.6648},
  year   = {2013}
}

Comments

9 pages. arXiv admin note: text overlap with arXiv:1310.4735

Leavitt path algebras of Cayley graphs arising from cyclic groups

Abstract

Keywords

Cite

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