This monograph presents a complete and self-contained solution to the
long-standing problem of giving a geometric description of state spaces
of C*-algebras and von Neumann algebras, and of their Jordan algebraic
analogs (JB-algebras and JBW-algebras). The material, which previously
has appeared only in research papers and required substantial
prerequisites for a reader's understanding, is made accessible here to a
broad mathematical audience. Geometry of State Spaces of Operator
Algebras is intended for specialists in operator algebras, as well as
graduate students and mathematicians in other areas.