"normal" . "von Neumann algebra#Bimodules and subfactors" . "type III factors" . "fundamental group" . . "approximately finite-dimensional" . "Finite-dimensional von Neumann algebra" . "type II1 factor" . "Von Neumann algebra#Commutative von Neumann algebras" . "type I" . "factor" . . "von Neumann algebra#Factors" . "finite projections" . . "hyperfinite type II factors" . . . "projections" . "type II1 factors" . . "Murray\u2013von Neumann equivalent" . "centre" . . . . "Von Neumann algebra" . "hyperfinite" . "von Neumann algebra" . "Type III von Neumann algebra" . . "injective" . "Murray-von Neumann equivalence relation" . . "Sakai's result" . "Approximately finite-dimensional von Neumann algebra" . . . "hyperfinite factors" . "comparison theory of projections" . "trace" . "'''weight'''" . "equivalent" . . "Murray-von Neumann equivalent" . "von Neumann factor" . "Von Neumann algebra" . . "factors" . . "type II\u221E" . . "von Neumann group algebra" . .