C*equivalences of graphs
Abstract
Several relations on graphs, including primitive equivalence, explosion equivalence and strong shift equivalence, are examined and shown to preserve either the graph groupoid, a construction of Kumjian, Pask, Raeburn, and Renault, or the groupoid of a pointed version of the graph. Thus these relations preserve either the isomorphism class or the Morita equivalence class of the graph C*algebra, as defined by Kumjian, Pask, and Raeburn.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 1998
 arXiv:
 arXiv:math/9810100
 Bibcode:
 1998math.....10100D
 Keywords:

 Mathematics  Operator Algebras
 EPrint:
 16 pages, AMSLaTeX, XYpic, minor changes (including new definition of primitive transfer to avoid pathological cases)