UPDATE:

Update 9/16/2015: Netflix responded and let us know that there are no current official plans to bring Star Wars to Netflix, take that ambiguity as you please. No word on how this affects their 2016 Disney contract.

This appears to not be happening.

The original story:

Star Wars Junk had a reader send them a screen grab of a tweet AMC theaters sent out and supposedly deleted almost immediately afterward:

The link goes here, which features Obi-Wan as the backdrop:

On the home viewing side of things, Exstreamists has found evidence for Star Wars hitting Netflix soon:

We knew that Disney had a deal to bring more content to Netflix in late 2015 and Lucasfilm offerings were mentioned in that deal. But it was unclear how things were going to shake out for FOX (which has distribution rights to A New Hope). But this might be evidence that it is coming sooner than later and something was worked out.

Hopefully soon we’re all watching the six current Star Wars films on Netflix and seeing it theatrically before Star Wars: The Force Awakens.

Update:

@MakingStarWars Star Wars might not be the only LFL property heading to Netflix pic.twitter.com/oaxMMbAISt — 𝗵𝗲𝗮𝘁𝗵 (@heathdwilliams) September 16, 2015

https://twitter.com/heathdwilliams/status/644176953231208448