As an employee of the state of Nevada, can I post (list) state owned property for sale or to be auctioned?

As long as you are a state owned employee which is the official owner of the property, there should be no problem posting the property for sale and giving out information. You can represent the owner of a property as their employee. You should even be able to show the property and give information as long as you dont receive any compensation or commission as a direct result of your actions.
A simple answer would come by contacting the real estate licensing body in your state, typically the Real Estate Commission, and they can clarify your status.

I know for a fact that employees of the Veterans Administration and the FHA list and sell properties owned by the VA and FHA. Of course, they do not receive any compensation other than their salaries.