What Keith said.
However;
You can install a GFCI breaker. In the event that there is a fault to ground in the transformer secondary and someone made inadvertent contact between ground and one of the transformer leads, the breaker may or may not offer protection. I wouldn't bother.
But;
Life safety is sometimes assured with isolating transformers by the use of a monitoring circuit.
Twin voltage detector circuits may be connected from either transformer leg to ground and the voltage measured.
Normally, insulation resistance and capacitance to ground of the transformer windings and the circuit wiring will roughly divide the circuit voltage into equal voltages to ground.
A shift in voltages to ground indicates that there may be a problem.
The last time I selected and installed such a circuit was about 15 years ago. My information is 15 years out of date, and my old literature is not readily available.
At the time, I was guided by publications of the Canadian Standards Association.
The standards were the requirements and recommendations for the installation of small isolated circuits for use in operating theatres.
The allowable leakage current for such systems is less than 5 ma.
Although 5 ma. and below is often assumed to be a safe level, the CSA standards indicated that an electrical current that flows in the organs that are exposed during surgery may be lethal at levels much less than 5 ma.
Consider the case of a surgeon holding an organ with one hand to gain better access to the site of the surgery. He reaches up with the other hand to adjust the surgical light (fed from an isolated circuit).
If there is a small amount of voltage on the surface of the light fixture from insulation leakage, the surgeons body may conduct enough current to the patients organs to be fatal, without the surgeon feeling a shock.
I was surprised to read that, but the CSA standards are compiled by engineers with a lot more experience in their fields than I have.
The standards for floors for use with explosive anethsetics were a lot of fun also.
hope this helps
respectfully