State Spaces of Operator Algebras : Basic Theory

Self-contained work, focusing on the theory of state spaces of C*- algebras and von Neumann algebras. Gives a new presentation of the theory of orientation of state spaces of C*-algebras that does not depend on Jordan algebras. Also presented is the theory of orientation of normal state spaces of von Neumann algebras, with complete proofs for the first time. Minimal prerequisites: knowledge from standard graduate courses in real and complex variables, measure theory, and functional analysis. Intended for specialists in operator algebras, as well as graduate students and mathematicians seeking an overview of the field.