Can China people go to the United States to arrest people who commit crimes in China after immigrating to the United States?

Yes, this is what is commonly called extradition. Extradition means that a country, at the request of the country concerned, hands over a person accused of a crime or sentenced by another country to the requesting country for trial or punishment. 1998 Since the establishment of the Sino-US Joint Liaison Group on Law Enforcement Cooperation, China and the United States have successfully cooperated in many cases, and China has successively signed extradition treaties with French, Spanish, Australian, Italian, Portuguese and other western developed countries; Treaties on criminal judicial assistance have been signed with the United States, Canada, France, Spain, Portugal, Australia, New Zealand, Britain and Belgium. For example, in April 2004, through the cooperation platform of the Sino-US Joint Liaison Group on Law Enforcement Cooperation, China successfully repatriated Yu Zhendong, the main suspect suspected of embezzling hundreds of millions of dollars from China Bank.