Graph inverse semigroups: their characterization and completion
Category Theory
2013-08-14 v2
Abstract
Graph inverse semigroups generalize the polycyclic inverse monoids and play an important role in the theory of C*-algebras. This paper has two main goals: first, to provide an abstract characterization of graph inverse semigroups; and second, to show how they may be completed, under suitable conditions, to form what we call the Cuntz-Krieger semigroup of the graph. This semigroup is the ample semigroup of a topological groupoid associated with the graph, and the semigroup analogue of the Leavitt path algebra of the graph.
Cite
@article{arxiv.1106.3644,
title = {Graph inverse semigroups: their characterization and completion},
author = {David G. Jones and Mark V. Lawson},
journal= {arXiv preprint arXiv:1106.3644},
year = {2013}
}
Comments
Some minor corrections made and tangential material removed