LOS ANGELES — Kim Gordon is synonymous with New York.

It was in New York that Ms. Gordon helped found Sonic Youth, probably the most influential New York art-rock band since the Velvet Underground.

It was in New York that Ms. Gordon became a fashion influencer, blending 1980s thrift store campiness with 1960s Anita Pallenberg mod.

And it was in New York that Ms. Gordon achieved hipster emeritus status, a personification of downtown cool captured forever in freeze-frame, icily staring out behind dark glasses against a graffiti-strewn brick wall.

But that Kim Gordon does not exist anymore.

Nearly a decade removed from a rancorous split from Sonic Youth and her husband and bandmate, Thurston Moore, Ms. Gordon, 66, is a solo act in every sense of the term: an ex-rock star, an ex-wife and, yes, an ex-New Yorker.