The only way anyone knows how the building's name was actually spelled is this image looking north up Woodward Avenue showing it as Hofmann.

Photo from the Walter P. Reuther Library, Wayne State University

The Hofmann Building can be seen on the left

Photo from the Detroit Historical Society

By 1976, when this photo was taken, the Hofmann Building had lost its original Neo Gothic ornamentation.

Photo from the Michigan State Historic Preservation Office