The sestiere (one of Venice’s six districts) is called Santa Croce after a church that no longer exists. It was consecrated in 774 by Obelario, first bishop of Olivolo, and became a parish; in 1109 it passed, with the land, to the Cluniac monks, who built a monastery beside it. In the mid-14th century the monks left, and the chapter of priests had it rebuilt: new consecration on 28 September 1342.