Kaon production in one prong tau decays has been studied using data co
llected with the DELPHI detector at the LEP collider. Charged kaons we
re identified over a large momentum range by the DELPHI barrel Ring Im
aging Cherenkov detector. The following branching ratios have been det
ermined: BR(tau --> Knu(T)) = (0.85 +/- 0.18) %, BR(tau --> Knu(tau) g
reater-than-or-equal-to 0 neutrals) = (1.54 +/- 0.24) %, BR(tau --> Kn
u(tau) greater-than-or-equal-to 1 neutrals) = (0.69 +/- 0.25) %. The r
esult for the exclusive branching ratio is consistent with the Standar
d Model prediction based on tau - mu - e universality. In addition, ta
u decay into K- was studied in the channel K*- --> K- pi0. The result
BR(tau --> K-nu(tau)) x BR(K*- --> K- pi0) = (0.57 +/- 0.23)% was ob
tained.