PHOENIX (KABC) -- Despite the ruling to block the controversial parts of Arizona's immigration law, protests continued in the state and in Los Angeles. About 50 people were arrested in Phoenix Thursday after a peaceful confrontation with police in riot gear. The immigration law went into effect on Thursday. However, the situation was complicated by a federal judge's last-minute decision to block the most controversial parts of the measure. The state filed an appeal asking that U.S. District Judge Susan Bolton's preliminary injunction be lifted so that all of the law can take effect. Lawyers for Gov. Jan Brewer also are asking that the appeal be considered quickly. The judge's temporary injunction against the guts of the law didn't stop two Phoenix climbers from dangling for hours on Wednesday night, hanging off an 11-story-high crane. There were demonstrators at various sites around Phoenix, and busloads of activists from L.A. were expected to join the Phoenix protests. Hundreds of people gathered at the door of the county jail, beating on the metal door, and at least 32 people were arrested, including a photographer for the Arizona Republic. Dozens of others were arrested throughout the day, trying to cross a police line, entering closed-off areas or sitting in the street and refusing to leave. Former state Sen. Alfredo Gutierrez, who ran unsuccessfully for governor in 2002, was among them. Marchers chanted "Sheriff Joe, we are here, we will not live in fear," and among the crowd was a drummer wearing a papier-mache Sheriff Joe head and dressed in prison garb. Maricopa Sheriff Joe Arpaio announced an immigration crackdown for Thursday afternoon, saying his deputies will continue doing what they've always done - arrest illegal immigrants for crimes, find out if they're illegal afterwards, and then have them deport. On the Capitol lawn, Phoenix resident Travis Franklin marched in support of tougher immigration laws.