Lectures on von Neumann Algebras

The text covers fundamentals of von Neumann algebras, including the Tomita's theory of von Neumann algebras and the latest developments.

A valuable text in the field of mathematics, written by eminent scientists, covering fundamental concepts of von Neumann algebras. The text will be useful to graduate students and academic researchers in operator algebras, noncommutative geometry and free probability theory.Written in lucid language, this valuable text discusses fundamental concepts of von Neumann algebras including bounded linear operators in Hilbert spaces, finite von Neumann algebras, linear forms on algebra of operators, geometry of projections and classification of von Neumann algebras in an easy to understand manner. The revised text covers new material including the first two examples of factors of type II^1, an example of factor of type III and theorems for von Neumann algebras with a cyclic and separating vector. Pedagogical features including solved problems and exercises are interspersed throughout the book.