We study the effect of spin injection into a Luttinger liquid. The spi
n-injection-detection setup of Johnson and Silsbee is considered: spin
s injected into the Luttinger liquid induce, across an interface with
a ferromagnetic metal, either a spin-dependent current (I-s) or a spin
-dependent boundary voltage (V-s). We find that the spin-charge separa
tion nature of the Luttinger liquid affects I-s and V-s in a very diff
erent fashion. In particular, in the Ohmic regime, V-s depends on the
spin transport properties of the Luttinger liquid in essentially the s
ame way as it would in the case of a Fermi liquid. The implications of
our results for the spin-injection-detection experiments in the high-
T-c cuprates are discussed. [S0031-9007(98)07319-0].