Perspectivity in the projection lattice of an ๐ด๐*-algebra
George A. Elliott ยท Proceedings of the American Mathematical Society ยท 1973
Perspectivity in the projection lattice of an A W โ A{W^ \ast } -algebra is identical with unitary equivalence. This was established by Fillmore for W โ {W^ \ast } -algebras, and a refinement of his argument is given here.