Ozone is a very effective disinfectant. Instead of the normal oxygen (O2), it contains 3 oxygen molecules (O3). This O3 is unstable and breaks apart in O2 and a free oxygen molecule. This free oxygen molecule is very reactive and will bind (oxidize) very easily. It can bind with another free oxygen molecule and then form O2 again, or it can bind with, for instance, the proteins in organisms and destroy them.
It actually means that ozone is very reactive, but breaks apart and binds into normal O2, which is completely harmless. When ozone is formed, it falls back into O2 in approximately 1 to 2 hours. This means that time will simply remove the disinfectant, it does not have to be ventilated away.
Ozone is a gas, and in this way can penetrate into the pores of the shell very easily. As it is very reactive, it can penetrate into the egg itself and kill the embryo if it is applied for several hours. As ozone is relatively heavy, it will sink towards the bottom of the disinfection room if no mixing fans are used.
Ozone is normally made by leading oxygen, either out of the air or from a bottle, over or between electrical plates with high currency. The "lightning" between the plates will form ozone in the outgoing air.
Ozone is very reactive, and will damage a lot of materials, especially plastic sealings if not especially designed for this purpose. It will also oxidize proteins in human cells, and can lead to cancer. If working in an ozone enriched environment, gas masks containing active coal must be used.
At this moment, no commercial application for ozone as disinfectant for eggs is known or at least common, although substantial research is done and applications for ozone were used in the former Soviet Union.