Liability for a scheme involving sham companies

I read news that the management of a defense enterprise conducted financial operations through sham companies to cash out state funds under defense contracts, and several people have already been served with suspicion notices for money laundering. My question is: if I was coincidentally registered as the head or owner of a company, but did not actually manage its affairs or sign any documents, can I be held criminally liable in such a situation, and how is my involvement proven?