I've got white (and chrome) wheels too. Dawn dishwashing liquid does great. Problem is trying to get into all the nooks and crevices. I've got a big mop-head style glove and I just try to hit every area a couple times.
** Edit: Adding Pic - not this exact one, but just like it **
Use a round soft bristle brush to get between the spokes. You can find them at most chain auto stores in the wash and wax aisle. I also use to remove my wheels and wax them once a year. Now I use a ceramic wax that is spray on and rinse off. There are a number of different brands. I use the one by Turtle wax. This helps with dirt and dust from sticking to the wheel. I really can't stand dirty wheels so I will give them a simple rinse with a hose before going out even if I'm not washing the rest of the SS.
Custom wheels make bring the SS to a new level but only if they are clean.
One other thing. Stay away from tire shine that comes in a spray bottle. It gets on the wheels and makes stuff stick to them. I use Armor All Tire Shine that comes in a squeeze bottle and with a spongy applicator.
I've got white (and chrome) wheels too. Dawn dishwashing liquid does great. Problem is trying to get into all the nooks and crevices. I've got a big mop-head style glove and I just try to hit every area a couple times.
** Edit: Adding Pic - not this exact one, but just like it **