Our Twin Cities Fox News affiliate recently posed an interesting question: In Minnesota, since we have a "cold weather rule" (landlords cannot cut off heat during the winter) , should we have a corresponding "warm weather rule"? http://goo.gl/zH3nm
Rather than not cutting off air-conditioning, the idea in the article is whether landlords should be required to provide air-conditioning. While it is true that there is nothing under current Minnesota statutes to specifically require it, I believe that there is a strong argument to be made that the implied covenant of habitability requires air conditioning when temperatures reach a certain level or when the landlord knows or should have known that a tenant is particularly susceptible to heat stroke (e.g. infants and the elderly). It would be a hard argument to win, and I am not aware of any solid precedent to point to, but just as central heat and plumbing once weren't standard and later became that way, once could argue that air-conditioning has reached that level (it's been standard in cars for decades).
The article does correctly point out that if a landlord has placed an air-conditioner in your apartment, then they are responsible for the upkeep and maintenance. It should be noted that this applies to central-air as well.