An elevator includes a car, a counterweight, a suspension working together with the car and the counterweight, and a wheel at least partially wound around by the suspension. The suspension includes a tie beam arrangement with two tie beams and an encasing shell wherein a ratio of the width of the suspension to the height thereof is in a range between one and three. The wheel includes a flute having a flat base for guiding the suspension. When the suspension is unloaded, there is an air gap between the suspension and a guide region of the flute. The suspension is ovalized under loading to close the air gap. The shell is coated, at least in areas, on the outer surface thereof, wherein the coating optionally has a friction-reducing, friction-increasing, and/or wear-detecting effect.