Twisted Topological Graph Algebras Are Twisted Groupoid C*-algebras
Operator Algebras
2017-01-25 v3
Abstract
The second author showed how Katsura's construction of the C*-algebra of a topological graph E may be twisted by a Hermitian line bundle L over the edge space E. The correspondence defining the algebra is obtained as the completion of the compactly supported continuous sections of L. We prove that the resulting C*-algebra is isomorphic to a twisted groupoid C*-algebra where the underlying groupoid is the Renault-Deaconu groupoid of the topological graph with Yeend's boundary path space as its unit space.
Keywords
Cite
@article{arxiv.1507.04449,
title = {Twisted Topological Graph Algebras Are Twisted Groupoid C*-algebras},
author = {Alex Kumjian and Hui Li},
journal= {arXiv preprint arXiv:1507.04449},
year = {2017}
}
Comments
Revised version, to appear in J. Operator Theory