  Direct CP-asymmetries in inclusive decay modes can be cleanly calculated by
exploiting quark-hadron duality. This is in sharp contrast to CP-asymmetries in
exclusive channels, where unknown strong phases prevent a clean extraction of
CKM parameters from measured CP-asymmetries. We have calculated the inclusive
CP-asymmetries in B^{+/-}-decays into charmless final states with strangeness
one or strangeness zero. In our results large logarithms are properly summed to
all orders. We find
  a_{CP} ( Delta S=0 ) = ( 2.0 +1.2 / -1.0) % and
  a_{CP} ( Delta S=1 ) = (-1.0 +/- 0.5 ) % .
  The constraints on the apex (rho-bar,eta-bar) of the unitarity triangle
obtained from these two CP-asymmetries define circles in the
(rho-bar,eta-bar)-plane. a_{CP} ( Delta S=0 ) measures sin(gamma) times
|V_{cb}/V_{ub}|. The presented work has been done in collaboration with Gaby
Ostermaier and Alexander Lenz.
