C*-equivalences of graphs
算子代数
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/9810100,
title = {C*-equivalences of graphs},
author = {D. Drinen and N. Sieben},
journal= {arXiv preprint arXiv:math/9810100},
year = {2007}
}
备注
16 pages, AMSLaTeX, XY-pic, minor changes (including new definition of primitive transfer to avoid pathological cases)