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:
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arXiv Mathematics e-prints
- Pub Date:
- October 1998
- DOI:
- 10.48550/arXiv.math/9810100
- arXiv:
- arXiv:math/9810100
- Bibcode:
- 1998math.....10100D
- Keywords:
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- Mathematics - Operator Algebras
- E-Print:
- 16 pages, AMSLaTeX, XY-pic, minor changes (including new definition of primitive transfer to avoid pathological cases)