IMHO, unless Kroger or any other business subsists soley on its own dime, with no assistance from the state in any manner (tax breaks, subsidies, etc.), it is NOT private property.
Just because I feel like being obstinate:
How often do you eschew your "personal exemption" when filing your taxes?
If you've taken advantage of it, I would assume by your statement that you are not an individual unto yourself and are therefore Government property as well.