The second author showed how Katsura's construction of the C*-algebra of atopological graph E may be twisted by a Hermitian line bundle L over the edgespace E. The correspondence defining the algebra is obtained as the completionof the compactly supported continuous sections of L. We prove that theresulting C*-algebra is isomorphic to a twisted groupoid C*-algebra where theunderlying groupoid is the Renault-Deaconu groupoid of the topological graphwith Yeend's boundary path space as its unit space.
展开▼
