Can lifts /elevators spread Covid

Modern elevator cabins are generally well-ventilated with design air exchange rates as high as 1 per minute during travel plus additional air exchange when doors open at floors. These two factors indicate that there is relatively low risk of infection from breathing background air in an elevator cabin that might have previously transported an infector or even if you are in a cabin with an infector.
That said, there are still many old elevators in use that are more like a closed box without ventilation. In this case the risk is much higher, and stronger precautions should be taken.
The primary concern in elevators will be close contact (an infector breathing on you or speaking at you or others while facing you) and contaminated surfaces, e.g., floor buttons.
Have as few people as possible at the same time in an elevator. A maximum of four allows a "corner per rider"
Masks should be required of all elevator riders.
No speaking should be allowed, as this significantly increases the number of aerosols (and ballistic droplets) released by an infector relative to breathing.
Riders should avoid touching wall surfaces and should touch floor buttons with a disposable tissue, etc.
Riders should sanitize hands after riding an elevator.
If capable of doing so, it may be safer to take the stairs down. Going up, harder breathing can lead to higher emission of virus-laden aerosols and higher aerosol inhalation, which have to be weighed against the risk of sharing an elevator with others. For stairs that have very few people, taking the stairs should be better. If the stairs have several other people, then it is less clear. Masks should be worn while using stairs.
Be careful about spending too much time in an elevator lobby on the ground floor of a building, where restrictions on number of passengers per car may result in high density and longer than normal duration of presence. more