Twisted Topological Graph Algebras Are Twisted Groupoid C*-algebras

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.

Revised version, to appear in J. Operator Theory

References in corpus (2)

• Cohomology of topological graphs and Cuntz-Pimsner algebras
• Uniqueness theorems for topological higher-rank graph C*-algebras

Cited by in corpus (1)

• Cartan Subalgebras of Topological Graph Algebras and k-Graph C*-algebras