Official (brief) plot:
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In the future, Jake, a paraplegic war veteran, is brought to another planet, Pandora, which is inhabited by the Na'vi, a humanoid race with their own language and culture. Those from Earth find themselves at odds with each other and the local culture.
Nothing to do with the Avatar anime series.
From the Apple site:
http://www.apple.com/trailers/fox/avatar/hd/
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AVATAR takes us to a spectacular new world beyond our imagination, where a reluctant hero embarks on a journey of redemption and discovery, as he leads a heroic battle to save a civilization. The film was first conceived by Cameron 14 years ago, when the means to realize his vision did not yet exist. Now, after four years of actual production work, AVATAR delivers a fully immersive cinematic experience of a new kind, where the revolutionary technology invented to make the film, disappears into the emotion of the characters and the sweep of the story.