<p>Apparatus in a vane type rotary compressor for floatingly supporting a rotary sleeve (30) which is mounted in a center housing for rotation with a plurality of vanes (16) movable in a rotor (10), the apparatus comprising an air-bearing room (40) defined between the inner periphery of the center housing and the outer periphery of the rotary sleeve and supplied with the maximum-pressure or discharge-pressure air through an air-supply passage (45) extending from the discharge chamber (41) or compression working space (43) under the maximum pressure. The air-supply passage is formed with an accumulator (60) for reducing the pulsation and/or temperature of the supplied air. The accumulator (60) is composed of either or both of a relatively large hollow (61) in the thickened wall of the center housing and a plurality of fine bores (62) and alternative grooves (63) forming a S-shaped hole in the suction side wall.</p>
