If you wash the yeast (do a search for "yeast washing") you can do that. Whatever you decide, I think a starter is a good idea. It makes sure that the yeast is viable after storage, as well as gives it a little food to get it out of dormancy.
If you don't wash the yeast before storing it, it could keep fermenting in your fridge I think, I did it, though! I put it in a sanitized mason jar, and keep pouring off the fluid on top as it accumulated. Eventually, all I had was mud. But I did do a starter before using it in a brew. It went like a locomotive, and was great! It was wyeast 1056 (American Ale yeast).
Lorena