Google is suffering minor embarrassment in the wake of launching Google Play as it's belatedly trying to obtain the GooglePlay.com domain. A dispute filing with the National Arbitration Forum is arguing that the site, an ad parking page held by an unnamed Japanese person, should belong to Google itself. The search engine had filed for a trademark just the day before the Play launch and will likely use it to contest the ownership.
ICANN, which manages domain names, could have easy legal ground besides the trademark. It has the authority to transfer domain rights if an owner doesn't have direct interests in the address. Likewise, the use of a site in "bad faith," such as an ad scraping site, is enough to make a domain holder give up control.
Google does have a website for Play, but lacking the obvious GooglePlay.com has likely already meant some viewers getting the wrong page and giving up. The late decision is considered odd given that Google registered multiple domains that alluded to its plans, but not the one site that it would most need to have. Play unites Google's app and media stores and is crucial not just to Android but to its cross-platform content plans.