BioShock Infinite is coming out under Linux soon! Now available for partial download.

Officially, this information has not yet been published, but the players who bought BioShock Infinite on Steam now have its partial installation available in Linux.

Go to your "Library" to check if it is available to you.

UPDATE: The game is currently not fully downloaded! The official announcement announces the release of the game in early 2015. More information - after the New Year.
twitter.com/2K/status/541003305174839296
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Below is a screenshot confirming the ability to install the game.