What do you think can be done to mitigate the risk of cryptocurrencies being used for criminal purposes? What measures should be taken?

Usually, cryptocurrencies are traceable through public blockchains, meaning transactions aren't completely anonymous and the individuals involved on them can be reached by authorities through minutious investigation. Therefore, there isn't any advantage for criminals when using Bitcoin or similars on their schemes. Thieves are much safer and have more success chances by using paper money, since it doesn't leave any traces backwards.
To mitigate risks of crypto being used by criminals, intelligence agencies from different countries must be skilled on informatics and cybernetic environment.