"Wigger" refers to a "white" person (usually male) who acts, dresses or talks "black." It's most likely a combination of the words "white" and "nigger," though some people say the "w" comes from wannabe (a person who wants to be something they are not). You may also see it spelled "whigger," "wigga," or "whigga."
According to the Rap Dictionary white people use "wigger" to describe other white people who "act black" and socialize with black people--and it's usually an insult.
The word "wigger" is based on the idea that there's such a thing as "acting black" and that everyone agrees on what that is. In many cases, when people accuse someone of "acting black," they are suggesting that they've adopted the style and culture of the hip-hop community. But there is also a class component to the word. For some people, a wigger is a rich white person acting "ghetto".
White rappers (like Eminem) have been called "wigger," as have musicians like Justin Timberlake who names a black musician (Michael Jackson) as an influence.
Films such as "Can't Hardly Wait" and "Malibu's Most Wanted" portray the "wigger" stock character in a humorous way. Which raises the question: Why do people think his way of acting, dressing or speaking is so funny? One answer: the wigger is trying to be something he is not--he's being a kind of "poser." But this idea perpetuates the idea that people are defined by the color of their skin and creates a rift between people of different races.