  In order to realize all possible KMS-bundles on the Jiang-Su algebra, we
introduce a class of C*-algebras which we call rationally approximately finite
dimensional (RAF). Using these, we show that for a given proper simplex bundle
$(S, \pi)$ with a singleton ${\pi}^{-1}(\{0\})$ and a unital separable
monotracial C*-algebra $A$ absorbing the Jiang-Su algebra tensorially (for
instance, the irrational rotation algebra), there exists a flow on $A$ whose
KMS-bundle is isomorphic to $(S, \pi)$.
