I don't think cream has trace, nor does cheese - you really need to read labels and check different brands. I have had havarti cheese ranging from 0.3 per ounce to 1.1 carbs per ounce (you can guess the brand I usually buy! lol).
As for cream, most creams have at least 1 carb per tablespoon or so - also depends on whether you use half and half (10%) or table cream (18%). One ounce of half and half has 1.3 carbs according to Fitday....so if you have a couple of those in your coffee, and add splenda packets as well you may be drinking about 5 carbs alone (a cup of coffee also has one carb).
So be warned, counting all the carbs will only help you in staying within your limit (20 grams for induction).
Good luck!
Froufy
P.S. You may want to get an account on
www.fitday.com if you don't already have one, and track your fat, protein, calories, carbs and don't forget to track and subtract fibre to get your net carbs.