Possible Clues:

• New arena: it's in purple, star-studded venue
• Dome where the heavens are projected
• Starlit dome
• Where stars gather?
• Trashed male Puritan, one offering vision of heaven
• Smooth sailor — with uniform splitting I’m a star attraction
• The domed London ____, in Marylebone Road, is now part of the neighbouring Madame Tussauds
• Where the night sky is projected onto a ceiling