Von Neumann algebras

Von Neumann algebras are a special type of algebra of bounded operators on a Hilbert space that have significant applications in functional analysis, quantum mechanics, and operator theory. They are named after the mathematician John von Neumann, who contributed greatly to the field. ### Key Properties: 1. **Origin:** Von Neumann algebras arise in the study of observables in quantum mechanics, where physical observables correspond to self-adjoint operators on a Hilbert space.