C*-equivalences of graphs

Details C*-equivalences of graphs C*-equivalences of graphs

1998-10-15

arxiv.org/abs/math/9810100v2

Mathematics

Operator Algebras

16 pages, AMSLaTeX, XY-pic, minor changes (including new definition of primitive transfer to avoid pathological cases)

Scientific paper

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.

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