Rockstar says no additional DLC will be developed for 1940s sleuther, has not decided anything regarding new game in franchise.

Team Bondi may have shut down following the release of L.A. Noire last May, but that doesn't mean its one and only intellectual property will be following the studio to the grave. As part of its larger Asked & Answered feature today, Rockstar Games said that gamers shouldn't "count out the possibility of a new game in the L.A. Noire franchise in the future."

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"We're all very pleased with how that game turned out and are considering what the future may hold for L.A. Noire as a series," reads a message from Rockstar. "We don't always rush to make sequels, but that does not mean we won't get to them eventually--see Max and Red Dead for evidence of that. We have so many games we want to make and the issue is always one of bandwidth and timing."
Rockstar also confirmed that no additional downloadable content for L.A. Noire will be developed. The studio said it is "all too busy" working on Max Payne 3, Grand Theft Auto V, and "other games."
Team Bondi shut down amid a flurry of controversy, after accusations of hostile working conditions prompted the International Game Developers Association to launch an investigation into the developer. Additionally, when the shop closed, it reportedly was $1.4 million in debt. The studio's assets, including its next project, Whore of the Orient, were acquired by film production company Kennedy Miller Mitchell.
L.A. Noire shipped for the Xbox 360 and PlayStation 3 in May, with a PC version and a Complete Edition following later in the year.