Uhm…that’s a hard NOPE!
A dishwasher is a pretty extreme environment. The detergents used in the dishwasher can attack the metal, causing it to etch, and can sometimes actually affect the knife’s edge. And if the knife has wooden scales, the dishwasher can (at best) dull the finish. At worst, water can penetrate into the wood pores, causing it to swell and potentially crack.
Hand-forged knives–even if made of stainless steel–should always be hand-washed. It’s a great idea to wipe any food residue off the knife before putting it down. Don’t soak the knife, and keep it out of dish water unless you’re actively washing it. Dry it immediately and put it back in its rack or case.