Generators of $W^*$-algebras, III
Horst Behncke · Tohoku Mathematical Journal · 1972
Two reasons motivate the study of generators of W*-algebras.Firstly it is obvious that if a ΫF*-algebra SI is generated by the operators A lf A 2 , ... with certain algebraic properties, then any TF*-algebra isomorphic to 21 is likewise generated by such operators.Thus the generating properties of W*-algebras might yield useful invariants for this algebra.Secondly the study of generators of W* -algebras leads to classes of operators which are rather pathological algebraically.[ 5 ] W. WOGEN, On Special Generators for Properly Infinite von Neumann Algebras, proc.