2) IMag NASU and MESU, 36-b, Vernadsky blvd, Kiev, 03142, UKRAINE tel:38044249095, Fax 38044249095; apogor@imag. kiev. ua The research of fundamental features of granular layered magnetic nanostructures is of strong interest due to very attractive perspectives of their application in spintronics and nanoelectronics of Extra High Frequencies (EHF). In particular, spin dependent features of such structures, namely, the Giant Magnetic Resistance (GMR) can be used for development of novel generations of electronically tunable EHF-elements, for the prospective quantum computers design, etc. Thus the research of electron magnetic subsystems of these structures in the frequency band of their potential application seems to be of certain interest for specialists both in solid state physics and electronic technologies.Specimens. The Cox(A12O3)1-x nanogranular films with Co granules in A1203 matrix (where X is the volume concentration of Co ranging from 4% to 44%) with the thickness of about 150 nm were under study. The average size of Co granules is of 1-5 nm. The films were deposited on glass-ceramic substrates at room temperature in vacuum 10-4 Pa using the dual electron beam deposition technique (evaporation from Co and A1203 independent sources) [1]. The composition of the films was determined using energy dispersive analysis of x-ray.Experimental Static experiments data. The measurements of magnetoresistance (GMR) for "current-in-plane orientation" (the DC current and static magnetic field lie in plane of the specimen) have been carried out. The specimens demonstrated (Fig.1a) the maximum of GMR for the concentration of Co in the vicinity of X~30%.At the same time the phase transition dielectric-metal (Fig.lb) takes place at X~16 % (for X`16% -R-is of about 2.4 MQ).Note, that the GMI effect for 3 5-40 GHz was estimated as magnitudes less than 0.5 %. 5