I'm really not sure where you're getting your info. Every source I've seen so far just says that EA acquired DICE. This happened before they set up a DICE games studio in LA.
"Electronic Arts Acquisition
In 2004, Electronic Arts announced their intent to purchase DICE and bought a 62% stake over the next year. By Oct 2, 2006 their purchase was completed, and DICE became a subsidiary of Electronic Arts. The company name was subsequently changed to EA Digital Illusions CE, though many players still recognize the company as simply DICE.
In 2005, the company moved from Gothenburg, to the ex-Refraction Games' studio in Stockholm. This happened shortly before the company was acquired by Electronic Arts."