Neighbor’s rangehood ducted into building air ventilation

We suspect that our neighbor’s rangehood is ducted into building air ventilation, we can smell strong cooking odor in the common area during dinner time. I had complained to building manager before, but he just ignored the problem. Once that the Neighbor cooked at 6am in the morning, the odor was strong enough to trigger the fire alarm. What can I do to stop it? Is building manager allowed to enter my neighbor’s unit and check the rangehood ?