A recirculation valve for a turbocharger compressor, comprising: a valve housing defining: an axial flow passage for compressed recirculation air extending along a direction defined by an axis of the recirculation valve; a generally annular valve seat encircling the axis; an annular cavity surrounding the axial flow passage, the annular cavity being in fluid communication with the axial flow passage; and a transverse flow passage in fluid communication with the annular cavity; a valve member disposed in the axial flow passage and linearly movable along the axis between a closed position wherein an end of the valve member contacts the valve seat, and an open position wherein the end of the valve member is axially spaced from the valve seat; and a muffler disposed in the annular cavity; characterized in that the muffler comprises a body defining: an annular flange at a first end of the body and encircling the axis; a generally cylindrical, perforated outer wall extending axially from the flange and terminating at an opposite second end of the body; an annular end wall joined to an end of the outer wall at the second end of the body, the end wall extending radially inwardly from the end of the outer wall and terminating at a radially inner periphery of the end wall; and a generally cylindrical, non-perforated inner wall joined to the inner periphery of the end wall and axially extending toward the first end of the body and terminating at an upper end located intermediate the first and second ends of the body; wherein the muffler is disposed such that when the valve member is in the open position, the compressed recirculation air is constrained to flow along the non-perforated inner wall and past the upper end thereof before reaching and flowing radially outwardly through the perforated outer wall to the transverse flow passage. a valve housing defining: an axial flow passage for compressed recirculation air extending along a direction defined by an axis of the recirculation valve; a generally annular valve seat encircling the axis; an annular cavity surrounding the axial flow passage, the annular cavity being in fluid communication with the axial flow passage; and a transverse flow passage in fluid communication with the annular cavity; an axial flow passage for compressed recirculation air extending along a direction defined by an axis of the recirculation valve; a generally annular valve seat encircling the axis; an annular cavity surrounding the axial flow passage, the annular cavity being in fluid communication with the axial flow passage; and a transverse flow passage in fluid communication with the annular cavity; a valve member disposed in the axial flow passage and linearly movable along the axis between a closed position wherein an end of the valve member contacts the valve seat, and an open position wherein the end of the valve member is axially spaced from the valve seat; and a muffler disposed in the annular cavity; characterized in that the muffler comprises a body defining: an annular flange at a first end of the body and encircling the axis; a generally cylindrical, perforated outer wall extending axially from the flange and terminating at an opposite second end of the body; an annular end wall joined to an end of the outer wall at the second end of the body, the end wall extending radially inwardly from the end of the outer wall and terminating at a radially inner periphery of the end wall; and a generally cylindrical, non-perforated inner wall joined to the inner periphery of the end wall and axially extending toward the first end of the body and terminating at an upper end located intermediate the first and second ends of the body; an annular flange at a first end of the body and encircling the axis; a generally cylindrical, perforated outer wall extending axially from the flange and terminating at an opposite second end of the body; an annular end wall joined to an end of the outer wall at the second end of the body, the end wall extending radially inwardly from the end of the outer wall and terminating at a radially inner periphery of the end wall; and a generally cylindrical, non-perforated inner wall joined to the inner periphery of the end wall and axially extending toward the first end of the body and terminating at an upper end located intermediate the first and second ends of the body; wherein the muffler is disposed such that when the valve member is in the open position, the compressed recirculation air is constrained to flow along the non-perforated inner wall and past the upper end thereof before reaching and flowing radially outwardly through the perforated outer wall to the transverse flow passage.