Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (8 chapters)
Keywords
- C*-algebras
- Monotone Complete
- AW*-algebras
- Operator System
- Regular (σ-)completion
- Operator Space
- Classification Semigroup
- Spectroid
- Classification of Factors
- Wild Factors
- Small Algebras
- Injective Envelope
- Generic Dynamics
- Automorphisms
- Automorphism Group
- Action of Groups
- Free Actions
- Ergodic Actions
- Orbit Equivalence
- Cross-product Algebras
About this book
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.
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Authors and Affiliations
Bibliographic Information
Book Title: Monotone Complete C*-algebras and Generic Dynamics
Authors: Kazuyuki Saitô, J. D. Maitland Wright
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-1-4471-6775-4
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London 2015
Hardcover ISBN: 978-1-4471-6773-0Published: 22 December 2015
Softcover ISBN: 978-1-4471-7388-5Published: 13 March 2019
eBook ISBN: 978-1-4471-6775-4Published: 16 December 2015
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XI, 257
Topics: Functional Analysis, Order, Lattices, Ordered Algebraic Structures, Associative Rings and Algebras