I feel dumb.
The computer people just installed an iMac in my office to replace a very old computer that was running Ubuntu. Unfortunately, they installed it with a run-of-the-mill keyboard that has the Alt key next to the space bar and the Windows/Super/Command key between Ctrl and Alt. My brain can’t handle it, so I started searching for a keyboard remapper. Eventually I discovered that the ability to remap the modifier keys is built in to Mac OS X. You just go to System Preferences -> Keyboard and click “Modifier Keys.”