  The noncommutative Fourier transform of the irrational rotation C*-algebra is
shown to have a K-inductive structure (at least for a large concrete class of
irrational parameters, containing dense $G_\delta$'s). This is a structure for
automorphisms that is analogous to Huaxin Lin's notion of tracially AF for
C*-algebras, except that it requires more structure from the complementary
projection.
