Monotone Complete C*-algebras and Generic Dynamics

by Kazuyuki Saitô (Author), J. D. Maitland Wright (Author)
Unique in presenting the modern theory of monotone complete C*-algebras
Gives a self-contained introduction to generic dynamics
Explains the new classification theory introducing spectroids and classification semigroups


About this book

This monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras.

Our knowledge and understanding of monotone complete C*-algebras has been transformed in recent years. This is a very exciting stage in their development, with much discovered but with many mysteries to unravel. This book is intended to encourage graduate students and working mathematicians to attack some of these difficult questions.

Each bounded, upward directed net of real numbers has a limit. Monotone complete algebras of operators have a similar property. In particular, every von Neumann algebra is monotone complete but the converse is false.

Written by major contributors to this field, Monotone Complete C*-algebras and Generic Dynamics takes readers from the basics to recent advances. The prerequisites are a grounding in functional analysis, some point set topology and an elementary knowledge of C*-algebras.

Topics
Functional Analysis
Order, Lattices, Ordered Algebraic Structures
Associative Rings and Algebras

More info and Hardcover at Springer

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