  We give examples of minimal diffeomorphisms of compact connected manifolds
which are not topologically orbit equivalent, but whose transformation group
C*-algebras are isomorphic. The examples show that the following properties of
a minimal diffeomorphism are not invariants of the transformation group
C*-algebra: having topologically quasidiscrete spectrum; the action on singular
cohomology (when the manifolds are diffeomorphic); the homotopy type of the
manifold (when the manifolds have the same dimension); and the dimension of the
manifold.
  These examples also give examples of nonconjugate isomorphic Cartan
subalgebras, and of nonisomorphic Cartan subalgebras, of simple separable
nuclear unital C*-algebras with tracial rank zero and satisfying the Universal
Coefficient Theorem.
