Dancing in the Dark by Stuart M. Kaminsky (1996)
Fred Astaire hires private investigator Toby Peters to teach an ex-mobster’s girlfriend to dance. The problem is she wants only Fred Astaire as her instructor. When she is found dead, Fred and Toby search for her killer. The dead bodies pile up. Hollywood during the war years is the scene.
Read the New York Times obituary of this beloved mystery writer.