Graph inverse semigroups, groupoids and their C*-algebras
算子代数
2007-05-23 v1
摘要
We develop a theory of graph C*-algebras using path groupoids and inverse semigroups. Row finiteness is not assumed so that the theory applies to graphs for which there are vertices emitting a countably infinite set of edges. We show that the path groupoid is amenable, and give a groupoid proof of a recent theorem of Szymanski characterizing when a graph C*-algebra is simple.
引用
@article{arxiv.math/0304355,
title = {Graph inverse semigroups, groupoids and their C*-algebras},
author = {Alan L. T. Paterson},
journal= {arXiv preprint arXiv:math/0304355},
year = {2007}
}
备注
17 pages