  We construct uncountably many mutually nonisomorphic simple separable stably
finite unital exact C$^\ast$-algebras which are not isomorphic to their
opposite algebras. In particular, we prove that there are uncountably many
possibilities for the $K_0$-group, the $K_1$-group, and the tracial state space
of such an algebra. We show that these C*-algebras satisfy the Universal
Coefficient Theorem. This is new even for the already known example of an exact
C*-algebra nonisomorphic to its opposite algebra produced in earlier work.
