The inaugural exhibition, “Vertigo,” at Mambo in Bologna.

A museum is under construction in Rome, nicknamed Maxxi, designed by Zaha Hadid. A museum opened in Bologna called Mambo. The Prada Foundation bought an exhibition space in the south of Milan; Rem Koolhaas will be that architect. And in the north of Milan there’s Hangar Bicocca, devoted to gigantic installations; Anselm Kiefer’s, an awesome series of towers, has become a pilgrimage site.

In Naples, Madre, a contemporary museum, has a new place. So does the Maramotti family’s art collection.

More is happening in Turin. And Venice has recently turned its customs house over to the French billionaire François Pinault, to show off his collection.

                    Photo: Chris Warde-Jones for The New York Times