Left Ctrl key stopped working totally

I think this is a bug in Mac OS X and has something to do with the way the keyboard shortcuts for Spaces are processed. Try this:

• Make sure Spaces is turned on in the System Preferences with the standard 4 spaces layout, and standard key combination for switching to a space.
• Open a folder in the Finder.
• Press and hold CTRL, and press any of the number keys. If you press 5, 6, 7, 8, 9 or 0 first you will get a beep. Same if you press one of those keys again (still holding CTRL). If you then press 1, 2, 3 or 4, you will switch to that space number; or just stay in that space if you were already in it. If you then press any of 5, 6, 7, 8, 9 or 0 again, it won't beep anymore.

If you simply turn off Spaces, the above won't happen and whatever order you press the keys in, they will continue to beep. If you change the number of spaces to only two, then 3, 4, 5, 6, 7, 8, 9 and 0 will give you a beep until you've pressed either 1 or 2. I don't know of an application in which those keys have a non-Spaces functionality and would do something useful other than beep, so I haven't been able to try what happens in such an application. In any case, I don't think you need to worry there's something wrong with your keyboard or the way you've configured the keyboard bindings; it seems to be a bug in Mac OS X.

Edit: Try the above in a new folder in which you've created folders named "1", "2" and so on. I find the Finder's behavior in this case somewhat strange: if you press CTRL-8, it will beep yet also switch the selection to the folder named "8". But again, pressing 5 through 9 will neither beep, nor change the selected folder once you've pressed any of 1 through 4.

I've noticed that certain applications seem to trap the gestures, even when they're no longer active.

The only time I've been able to 100% narrow down something trapping various shortcut keys was with either Apple Remote Desktop (the built in screen sharing functions), or Microsoft Remote Desktop.

Even though I clicked outside of the app and started using something else, something caused notably my ctrl+←/→ to stop working.

I unfortunately do not remember the specific steps I took to resolve the issue. Whether it was explicitly sending focus into the remote connection window, and then (with the mouse only) explicitly out of the window, and onto another app that is not just the Desktop, might have fixed the problem. Otherwise, I may have just closed the window in frustration.

Either way, this issue is one that you may have to do some personal diagnosing to figure out. Check for any running apps that are notably not native (Java, AIR-based, etc.), or have some other form of deep integration (trapping keyboard events and sending them to another computer is pretty deep), that may be causing this issue.