This paper continues our investigation into the question of when a homotopy of
2-cocycles on a locally compact Hausdorff groupoid gives rise to an isomorphism of the
-theory groups of the
twisted groupoid
-algebras.
Our main result, which builds on work by Kumjian, Pask, and Sims,
shows that a homotopy of 2-cocycles on a row-finite higher-rank graph
gives rise to twisted
groupoid
-algebras with
isomorphic
-theory
groups. (The groupoid in question is the path groupoid of
.) We also
establish a technical result: any homotopy of 2-cocycles on a locally compact Hausdorff
groupoid
gives rise to an upper semicontinuous bundle of
-algebras.
