  We introduce notions of dimension and dynamical entropy for unital
C*-algebras ``metrized'' by means of c-Lip-norms, which are complex-scalar
versions of the Lip-norms constitutive of Rieffel's compact quantum metric
spaces. Our examples involve UHF algebras and noncommutative tori. In
particular we show that the entropy of a noncommutative toral automorphism with
respect to the canonical c-Lip-norm coincides with the topological entropy of
its commutative analogue.
