Is employee's actions outside the workplace the concern of the organization?

Everybody has to be responsible for his own behavior. However, the way one is punished for his mistakes depends on what his fault is and how serious it is.
Working life and normal life are two important aspects of one’s life. To some extent, these two factors are separate to each other. If one is an employee of a company, everything he does in the working hours is judged and graded by the company or by his boss to be specific, regardless of his action occurs outside or inside the workplace as the company has to take responsibility for its employees’ mistakes. However, after working time, the employee is not an employee any more, but only be himself, so that he, not the company, will be liable for all of his acts.
Moreover, if a person can fulfill well his duties at work and do not let his personal issues affect the quality of work, there’s no reason for the company to intervene deeply to his own life. In the company’s point of view they also don’t want to lose a good staff due to something that is not related to its business.
Furthermore, it will be nightmare for people if their company can fire them for what they do after work. It will become a 24-hour working time, not 8-hour any more, as a result, it will put more pressure on staff, and reduce their productivity.
However, on the other hand, every employee is a representative of a company, so that the bad behavior in public places to others may ruin the firm’s prestige. In this case, he should be penalized for what he has caused.
In conclusion, it should be a clear distinction between a person’s working and normal life. A company has the right to discharge its own employees, but only for their mistakes in work or for something they make after work that damages the company’s reputation, income…not for every of their behavior outside the workplace.