  A study of the quasi-particle excitations and spin fluctuations in the
one-band Hubbard-model on the triangular lattice with nearest- and
next-nearest-neighbor hopping is presented. Using the
fluctuation-exchange-approximation (FLEX) results for the quasi-particle
dispersion and life-time, the Fermi surface, and the static spin structure
factor will be discussed for a wide range of dopings and as a function of the
Coulomb correlation strength U. It is shown that the renormalization of the
spin- and charge-dynamics is sensitive to the interplay between van Hove
singularity-effects and the nesting, which is influenced by the
next-nearest-neighbor hopping. For all dopings investigated, the
energy-dependence of the quasi-particle life time is found to be of
conventional Fermi-liquid nature. At intermediate correlation strength the
static structure factor is strongly doping dependent, with a large commensurate
peak at the K-point for 1.35 electrons per site and weak, incommensurate
intensities occuring at lower electron densities. The relevance of this model
to the recently discovered cobaltates Na_xCoO_2.yH_2O will be discussed.
