Will an air purifier cure my asthma or allergies?

No. An air purifier will not cure asthma or allergies.
It will, however, help lessen the amount of pollutants in the air that you breathe, which in turn may provide you with some relief from the symptoms associated with these conditions. Air purifiers are not meant to act as a treatment or cure for any medical conditions. They are just another tool that you can utilize to improve the indoor air quality of your home or office. If you suffer from either of these conditions, you should seek medical attention immediately.