This connector (10) has: a port (28) in which a valve body (36) is arranged a space (76) having a side wall (76a) circumferentially enclosing displacement of the valve body (36) and a bottom wall (59) in a position opposite of the valve body (36) and allowing displacement of said valve body (36) and a circulating section (50) which is provided connected to the bottom wall (59) in a position spaced away from the side wall (76a) and which circulates a fluid in the space (76). Furthermore, the connector (10) is provided with cut-out sections (96, 97, 98) cut out to allow connecting the circulating section (50) to the side wall (76a).
