K-theory and homotopies of twists on ample groupoids (Q2043507)

The main result of this paper establishes that the $K$-theory of a twisted groupoid C*-algebra is invariant with respect to homotopies of twists for a large class of groupoids. In particular, the author shows that a homotopy of twists on an ample groupoid satisfying the Baum-Connes conjecture with coefficients gives rise to an isomorphism between the $K$-theory groups of the respective twisted groupoid C*-algebras.