The tire manufacturer will always indicate the maximum pressure that a tire is constructed to handle - this can be found on the sidewall of the tire.
The maximum pressure rating assumes International Standard Atmosphere (ISA) conditions, which are +15°C (+59°F) at sea level prevail outside of the tire.
As Joe said, tires are constructed to handle carcass temperature rises and associated internal pressure increases that take place when the vehicle is ridden. As long as you don't exceed the speed rating for the tire (which is also marked on the sidewall), you will be fine. Tires that fit our motorcycles typically have a 'Z' speed rating, which means the tire is capable of a sustained maximum speed of no less than 240 km/h (149 MPH) - well beyond the capabilities of our motorcycles.
So, no need to worry, as long as your tire has no obvious defects (sidewall damage, plugged hole, or it's the same tire that was mounted on the bike in 2004 when it left the factory).
Michael