His interest in ergodic theory, group representations and quantum mechanics contributed significantly to von Neumann's realisation that a theory of operator algebras was the next important stage in the development of this area of mathematics.
Kanyang interes sa ergodic teorya, grupo ng representasyon at quantum mechanics makabuluhang ambag sa von Neumann's realisation na ang isang teorya ng operator algebras ay ang susunod na mahalagang yugto sa pag-unlad ng lugar na ito ng matematika.