English

Removing sources from higher-rank graphs

Operator Algebras 2007-05-23 v2

Abstract

For a higher-rank graph Λ\Lambda with sources we detail a construction that creates a higher-rank graph Λˉ\bar{\Lambda} that does not have sources and contains Λ\Lambda as a subgraph. Furthermore, when Λ\Lambda is row-finite, the Cuntz-Krieger algebra of Λ\Lambda is a full corner of C(Λˉ)C^*(\bar{\Lambda}), the Cuntz-Krieger algebra of Λˉ\bar{\Lambda}.

Cite

@article{arxiv.math/0603037,
  title  = {Removing sources from higher-rank graphs},
  author = {Cynthia Farthing},
  journal= {arXiv preprint arXiv:math/0603037},
  year   = {2007}
}

Comments

34 pages, uses XY-pic, rewrote Theorem 3.24, added Theorem 3.26, corrected typos