This monograph covers monotone complete C*-algebras, their properties and the new classification theory, with an introduction of spectroid invariants and a classification semigroup. The purpose is to expound the new theory of monotone complete C*-algebras and introduce some open problems.
The monograph analyses the key aspects of monotone C*-algebras published in the last half century, including the significant early work of Irving Kaplansky and his research fields of AW*-algebras and monotone complete C*-algebras. It subsequently moves on to show how these theories developed in recent times and provides new points of view on previous study; allowing one to restructure and reformulate the presentation of the entire theory.
Written by experts in the field with over forty years’ experience, Monotone Complete C*-algebras and Generic Dynamics will be of great interest to graduate students and working mathematicians. The prerequisites are elementary functional analysis, point set topology and a basic knowledge of C*-algebras.
