A good general reference noted for its characterizations and categorizations of computer crime is Donn Parker's book Fighting Computer Crime, which I abbreviate FCC. In particular, for fundamental characterizations, see pp. 16-18 of FCC.
The four crime categories that FCC establishes are (1) object of a crime (2) subject of a crime (3) tool for criminal activity (4) symbolic, used for intimidation or deception. DECC adds a fifth category, computers as a source of digital evidence, noting in particular the email correspondence between President Clinton and Monica Lewinsky strongly suggesting that Clinton had perjured himself.