If I run an windowed application, let's say Firefox for example, it integrates perfectly into OS X desktop : I can switch Spaces with ctrl-left and ctrl-right, I can use Command-Tab to switch to another application, etc. It works even after I go fullscreen by clicking on the green button in the bar at the top of the window. But if I run an application that launches immediately as fullscreen, like most games, e.g. Arcanum, ctrl-left and ctrl-right don't work anymore. The only command that works is command-tab: it minimises the app wine is running into the Dock and then switches to another application.
This is running wine staging 1.9.3 on MacOS 10.11.3 running on a MacPro 2010 with AMD Radeon R9 280x.
Am I missing something? Or is this a known limitation?