As for a fan raising the temperature; if it doing it's job then yes it will cause the air temperature to rise. A fan cools you by allowing heat to be removed from your body in the form of water evaporating from your skin. If you remove heat from your body, that heat will increase the air temperature.
However the other thing is that the fan could be affecting the circulation in the room. For example if you are cooking on your stove you should have an exhaust fan running, not a room fan. That way the heat being produced will have a chance to escape instead of being distributed around the room. We ran into this when I used to work in restaurants. Newer cooks would bring in fans to try and cool the kitchen. However that would disrupt the airflow and end up raising the temperature.
My other tip for cooling an apartment; if you don't pay for water keep your tub full of cold water. (Don't use ice from your freezer though.) Having a couple of hundred litres of water at 10 degrees cooler than the rest of the apartment will absorb a small amount of heat. This works better in Calgary than somewhere like Toronto as we don't have humidity to deal with.
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