Many people were exposed to asbestos in their jobs, either previously or, in some cases, currently. For example, construction or home renovation workers may be exposed to asbestos while working on older houses built before the ban.
OSHA has specific regulations for safe levels of asbestos exposure and precautions that employers must take when the amount of asbestos in the air exceeds certain levels. For example, employees should be provided with PPE while they are working with any materials that may contain asbestos. There must also be separate lunch and break facilities, as no one is allowed to eat, drink, or smoke in areas with higher levels of asbestos. Workplaces must also warn workers of the risks of exposure, provide training on using the proper precautions, and keep detailed records of exposure. If your employer failed to do these things, they may be liable for your exposure to a dangerous substance.
Please note that if you believe your employer is currently failing to meet standards for asbestos protection, you have a right to file an anonymous complaint with OSHA. For more information about asbestos and your right to safety in the workplace, see this OSHA fact sheet.