Graph inverse semigroups, groupoids and their C*-algebras

Details Graph inverse semigroups, groupoids and their C*-algebras Graph inverse semigroups, groupoids and their C*-algebras

2003-04-23

arxiv.org/abs/math/0304355v1

J. Operator Theory 48(2002), 645-662

Mathematics

Operator Algebras

17 pages

Scientific paper

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.

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