Just tried it! So now I'm thinking that, regardless of the resolutions that the Cinema Display can accept, there's probably something wrong with the Kanex that I have, because the exact same issue occurred when I connected the display to my MBP via the Kanex - I got a slightly yellowish, flickering display of my desktop for a couple seconds before it completely cut out. The CD went to sleep again, and the light next to the Mini Displayport input on the Kanex went out, even though the light next to the HDMI input on the other side stayed on, meaning that the Kanex was still powered on. This never happens when I connect the CD to my MBP via the Mac's own Mini Displayport input, so I don't think there's something wrong with the display.
Also, for the few seconds that the CD was displaying an image, I saw that it was using a 1920x1200 resolution. Since the MBP was outputting at what is apparently the CD's native resolution, I don't think resolution incompatibilities could be to blame. There was no option for 1080p, so I'm wondering if it'll still not display the Apple TV 4 even if I get an adapter that works properly. The Apple TV 4 has no 1920x1200 resolution option (at least none that display on my TV's), and it seems as though the Cinema Display has no option to accept anything other than 1920x1200. Hmm. I took this screenshot after the display had already cut out; I was messing around and trying to see if changing to any of those other resolutions would do anything, but they didn't.
I have tried to use Kanex XD converter for MacBook Retina as follows. This may help you setting the resolution of the MDP adapter in the system settings, namely, "Option key while clicking the Scaled button."
Apple's USB-C Digital AV Multiport Adapter for the MacBook and Kanex XD HDMI to Minidisplay Port Converter solve the problem.
https://www.amazon.com/Apple-USB-C-Digital-Multiport-Adapter/dp/B00VU2K10G/ref=s r_1_1?s=electronics&ie=UTF8&qid=14688768…
https://www.amazon.com/Kanex-HDMI-Mini-Displayport-Converter/dp/B003LGOWNQ
Other USB-C to HDMI adapters will work in place of Apples'; I have a new KickStarter KADi Port which works fine as well.
It should be noted, however, that Kanex XD converts HDMI to Apple's LED Cinema Display 27" with resolution 720p, and we may need to set the resolution for MDP adapters for HDMI.
An apple support page “Using a Retina display” tells us how to manage the resolution.
https://support.apple.com/en-us/HT202471
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"Get more resolutions for your external display"
You can see more resolution options for your external display by holding down the Option key while clicking the Scaled button.
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Additional resolution options appear, and we can choose 720p.
Thus, we can use the Cinema Display with miniDisplay port as the 2nd display of Retina Macbook through HDMI Adapters and Kanex XD.
[doublepost=1469846186][/doublepost]I don't have any Apple TV's, but have a Fire TV Stick, which has no volume control neither.
FYI, tell you how the Kanex XD is used for the Fire TV Stick with the Apple Cinema Display 27".
The Kanex XD is fully working with 720p by simply inserting the Fire TV Stick to the HDMI port. So,
a Mac Mini (Mid 2011) running El Capitan is connected ACD via its USB cable, and volume is controlled by the Keyboard connected to the Mac Mini. We don't care about what is displayed by the Mac Mini.
A small and simple device for ACD volume control which can be connected to the USB Port be expected!