I doubt it would be practical to a ceramic material for the brake disks, calipers etc.. however the brake friction liners are sometimes made of ceramics.
"A process for manufacturing a brake lining made of a fiber-reinforced ceramic C/SiC material includes (1) producing a carbon fiber body having at least one of a defined volume of pores and capillaries; (2) infiltrating the carbon fiber body with at least one of carbon or a carbon precursor; (3) pressing the infiltrated carbon fiber body, thereby forming a green compact; (4) pyrolyzing the green compact, thereby forming a porous C/C body; (5) adjusting at least one of a pore and a capillary volume of the porous C/C body to maximally approximately 60% by volume; and (6) infiltrating the C/C body with liquid silicon so that carbon, at least in an area of pores and capillaries which is close to the surface, becomes silicon carbide."
US6248269.pdf