The maximal ring of quotients of a finite Von Neumann algebra
The maximal ring of quotients of a finite Von Neumann algebra
Expository article on the embedding of finite von Neumann algebras into regular rings.The algebra of affiliated closed operators is identified with the maximal ring of right quotients.Applications of the theory of self-injective regular rings to operator algebras (matrix algebras, projection lattices, reduction theory). Introduction.Let A be a von Neumann algebra …